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Finding the Third Proportional to 41,646.38 and 59,354.44

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Solution

The third proportional to 41,646.38 and 59,354.44 is: 84,591.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,646.38 : 59,354.44 = 59,354.44 : x
  2. Step 2: Convert to fraction form
    41,646.38/59,354.44 = 59,354.44/x
  3. Step 3: Cross multiply
    41,646.38x = 59,354.44 × 59,354.44
  4. Step 4: Simplify right side
    41,646.38x = 3,522,949,250.94
  5. Step 5: Solve for x
    x = 3,522,949,250.94/41,646.38
  6. Step 6: Final answer
    x = 84,591.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.