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Finding the Third Proportional to 24,687.13 and 53,120.69

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Solution

The third proportional to 24,687.13 and 53,120.69 is: 114,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,687.13 : 53,120.69 = 53,120.69 : x
  2. Step 2: Convert to fraction form
    24,687.13/53,120.69 = 53,120.69/x
  3. Step 3: Cross multiply
    24,687.13x = 53,120.69 × 53,120.69
  4. Step 4: Simplify right side
    24,687.13x = 2,821,807,440.47
  5. Step 5: Solve for x
    x = 2,821,807,440.47/24,687.13
  6. Step 6: Final answer
    x = 114,302.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.