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Finding the Third Proportional to 24,450.50 and 53,397.50

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Solution

The third proportional to 24,450.50 and 53,397.50 is: 116,614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,450.50 : 53,397.50 = 53,397.50 : x
  2. Step 2: Convert to fraction form
    24,450.50/53,397.50 = 53,397.50/x
  3. Step 3: Cross multiply
    24,450.50x = 53,397.50 × 53,397.50
  4. Step 4: Simplify right side
    24,450.50x = 2,851,293,006.25
  5. Step 5: Solve for x
    x = 2,851,293,006.25/24,450.50
  6. Step 6: Final answer
    x = 116,614.92

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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.