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Finding the Third Proportional to 41,344 and 53,088

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Solution

The third proportional to 41,344 and 53,088 is: 68,167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,344 : 53,088 = 53,088 : x
  2. Step 2: Convert to fraction form
    41,344/53,088 = 53,088/x
  3. Step 3: Cross multiply
    41,344x = 53,088 × 53,088
  4. Step 4: Simplify right side
    41,344x = 2,818,335,744
  5. Step 5: Solve for x
    x = 2,818,335,744/41,344
  6. Step 6: Final answer
    x = 68,167.95

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.