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Finding the Third Proportional to 24,613.88 and 53,740.13

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Solution

The third proportional to 24,613.88 and 53,740.13 is: 117,332.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,613.88 : 53,740.13 = 53,740.13 : x
  2. Step 2: Convert to fraction form
    24,613.88/53,740.13 = 53,740.13/x
  3. Step 3: Cross multiply
    24,613.88x = 53,740.13 × 53,740.13
  4. Step 4: Simplify right side
    24,613.88x = 2,888,001,035.02
  5. Step 5: Solve for x
    x = 2,888,001,035.02/24,613.88
  6. Step 6: Final answer
    x = 117,332.24

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