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Finding the Third Proportional to 14,566 and 31,604

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Solution

The third proportional to 14,566 and 31,604 is: 68,571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566 : 31,604 = 31,604 : x
  2. Step 2: Convert to fraction form
    14,566/31,604 = 31,604/x
  3. Step 3: Cross multiply
    14,566x = 31,604 × 31,604
  4. Step 4: Simplify right side
    14,566x = 998,812,816
  5. Step 5: Solve for x
    x = 998,812,816/14,566
  6. Step 6: Final answer
    x = 68,571.52

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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.