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Finding the Third Proportional to 14,566 and 31,598

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Solution

The third proportional to 14,566 and 31,598 is: 68,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566 : 31,598 = 31,598 : x
  2. Step 2: Convert to fraction form
    14,566/31,598 = 31,598/x
  3. Step 3: Cross multiply
    14,566x = 31,598 × 31,598
  4. Step 4: Simplify right side
    14,566x = 998,433,604
  5. Step 5: Solve for x
    x = 998,433,604/14,566
  6. Step 6: Final answer
    x = 68,545.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.