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Finding the Third Proportional to 10,918.50 and 25,666.13

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Solution

The third proportional to 10,918.50 and 25,666.13 is: 60,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,918.50 : 25,666.13 = 25,666.13 : x
  2. Step 2: Convert to fraction form
    10,918.50/25,666.13 = 25,666.13/x
  3. Step 3: Cross multiply
    10,918.50x = 25,666.13 × 25,666.13
  4. Step 4: Simplify right side
    10,918.50x = 658,749,972.52
  5. Step 5: Solve for x
    x = 658,749,972.52/10,918.50
  6. Step 6: Final answer
    x = 60,333.38

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.