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Finding the Third Proportional to 25,294.50 and 54,641.25

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Solution

The third proportional to 25,294.50 and 54,641.25 is: 118,036.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294.50 : 54,641.25 = 54,641.25 : x
  2. Step 2: Convert to fraction form
    25,294.50/54,641.25 = 54,641.25/x
  3. Step 3: Cross multiply
    25,294.50x = 54,641.25 × 54,641.25
  4. Step 4: Simplify right side
    25,294.50x = 2,985,666,201.56
  5. Step 5: Solve for x
    x = 2,985,666,201.56/25,294.50
  6. Step 6: Final answer
    x = 118,036.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.