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Finding the Third Proportional to 10,897.03 and 15,331.78

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Solution

The third proportional to 10,897.03 and 15,331.78 is: 21,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.03 : 15,331.78 = 15,331.78 : x
  2. Step 2: Convert to fraction form
    10,897.03/15,331.78 = 15,331.78/x
  3. Step 3: Cross multiply
    10,897.03x = 15,331.78 × 15,331.78
  4. Step 4: Simplify right side
    10,897.03x = 235,063,516.30
  5. Step 5: Solve for x
    x = 235,063,516.30/10,897.03
  6. Step 6: Final answer
    x = 21,571.34

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.