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Finding the Third Proportional to 24,266.25 and 53,074.13

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Solution

The third proportional to 24,266.25 and 53,074.13 is: 116,081.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,266.25 : 53,074.13 = 53,074.13 : x
  2. Step 2: Convert to fraction form
    24,266.25/53,074.13 = 53,074.13/x
  3. Step 3: Cross multiply
    24,266.25x = 53,074.13 × 53,074.13
  4. Step 4: Simplify right side
    24,266.25x = 2,816,862,744.52
  5. Step 5: Solve for x
    x = 2,816,862,744.52/24,266.25
  6. Step 6: Final answer
    x = 116,081.50

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