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Finding the Third Proportional to 27,662 and 41,312

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Solution

The third proportional to 27,662 and 41,312 is: 61,697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,662 : 41,312 = 41,312 : x
  2. Step 2: Convert to fraction form
    27,662/41,312 = 41,312/x
  3. Step 3: Cross multiply
    27,662x = 41,312 × 41,312
  4. Step 4: Simplify right side
    27,662x = 1,706,681,344
  5. Step 5: Solve for x
    x = 1,706,681,344/27,662
  6. Step 6: Final answer
    x = 61,697.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.