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Finding the Third Proportional to 24,506 and 53,356

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Solution

The third proportional to 24,506 and 53,356 is: 116,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506 : 53,356 = 53,356 : x
  2. Step 2: Convert to fraction form
    24,506/53,356 = 53,356/x
  3. Step 3: Cross multiply
    24,506x = 53,356 × 53,356
  4. Step 4: Simplify right side
    24,506x = 2,846,862,736
  5. Step 5: Solve for x
    x = 2,846,862,736/24,506
  6. Step 6: Final answer
    x = 116,170.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.