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Finding the Third Proportional to 14,663 and 32,598

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Solution

The third proportional to 14,663 and 32,598 is: 72,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,663 : 32,598 = 32,598 : x
  2. Step 2: Convert to fraction form
    14,663/32,598 = 32,598/x
  3. Step 3: Cross multiply
    14,663x = 32,598 × 32,598
  4. Step 4: Simplify right side
    14,663x = 1,062,629,604
  5. Step 5: Solve for x
    x = 1,062,629,604/14,663
  6. Step 6: Final answer
    x = 72,470.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.