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Finding the Third Proportional to 10,442.06 and 24,641.41

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Solution

The third proportional to 10,442.06 and 24,641.41 is: 58,149.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.06 : 24,641.41 = 24,641.41 : x
  2. Step 2: Convert to fraction form
    10,442.06/24,641.41 = 24,641.41/x
  3. Step 3: Cross multiply
    10,442.06x = 24,641.41 × 24,641.41
  4. Step 4: Simplify right side
    10,442.06x = 607,198,901.98
  5. Step 5: Solve for x
    x = 607,198,901.98/10,442.06
  6. Step 6: Final answer
    x = 58,149.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.