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Finding the Third Proportional to 41,438 and 63,588

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Solution

The third proportional to 41,438 and 63,588 is: 97,577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,438 : 63,588 = 63,588 : x
  2. Step 2: Convert to fraction form
    41,438/63,588 = 63,588/x
  3. Step 3: Cross multiply
    41,438x = 63,588 × 63,588
  4. Step 4: Simplify right side
    41,438x = 4,043,433,744
  5. Step 5: Solve for x
    x = 4,043,433,744/41,438
  6. Step 6: Final answer
    x = 97,577.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.