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Finding the Third Proportional to 10,441.13 and 25,237.13

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Solution

The third proportional to 10,441.13 and 25,237.13 is: 61,000.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.13 : 25,237.13 = 25,237.13 : x
  2. Step 2: Convert to fraction form
    10,441.13/25,237.13 = 25,237.13/x
  3. Step 3: Cross multiply
    10,441.13x = 25,237.13 × 25,237.13
  4. Step 4: Simplify right side
    10,441.13x = 636,912,478.27
  5. Step 5: Solve for x
    x = 636,912,478.27/10,441.13
  6. Step 6: Final answer
    x = 61,000.37

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.