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Finding the Third Proportional to 24,073.44 and 53,678.94

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Solution

The third proportional to 24,073.44 and 53,678.94 is: 119,693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,073.44 : 53,678.94 = 53,678.94 : x
  2. Step 2: Convert to fraction form
    24,073.44/53,678.94 = 53,678.94/x
  3. Step 3: Cross multiply
    24,073.44x = 53,678.94 × 53,678.94
  4. Step 4: Simplify right side
    24,073.44x = 2,881,428,331.13
  5. Step 5: Solve for x
    x = 2,881,428,331.13/24,073.44
  6. Step 6: Final answer
    x = 119,693.26

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.