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Finding the Third Proportional to 25,755 and 54,277.50

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Solution

The third proportional to 25,755 and 54,277.50 is: 114,387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,755 : 54,277.50 = 54,277.50 : x
  2. Step 2: Convert to fraction form
    25,755/54,277.50 = 54,277.50/x
  3. Step 3: Cross multiply
    25,755x = 54,277.50 × 54,277.50
  4. Step 4: Simplify right side
    25,755x = 2,946,047,006.25
  5. Step 5: Solve for x
    x = 2,946,047,006.25/25,755
  6. Step 6: Final answer
    x = 114,387.38

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.