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Finding the Third Proportional to 15,662 and 35,459

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Solution

The third proportional to 15,662 and 35,459 is: 80,279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,662 : 35,459 = 35,459 : x
  2. Step 2: Convert to fraction form
    15,662/35,459 = 35,459/x
  3. Step 3: Cross multiply
    15,662x = 35,459 × 35,459
  4. Step 4: Simplify right side
    15,662x = 1,257,340,681
  5. Step 5: Solve for x
    x = 1,257,340,681/15,662
  6. Step 6: Final answer
    x = 80,279.70

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.