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Finding the Third Proportional to 24,310.13 and 53,119.13

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Solution

The third proportional to 24,310.13 and 53,119.13 is: 116,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,310.13 : 53,119.13 = 53,119.13 : x
  2. Step 2: Convert to fraction form
    24,310.13/53,119.13 = 53,119.13/x
  3. Step 3: Cross multiply
    24,310.13x = 53,119.13 × 53,119.13
  4. Step 4: Simplify right side
    24,310.13x = 2,821,641,440.77
  5. Step 5: Solve for x
    x = 2,821,641,440.77/24,310.13
  6. Step 6: Final answer
    x = 116,068.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.