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Finding the Third Proportional to 10,605 and 15,598

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Solution

The third proportional to 10,605 and 15,598 is: 22,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605 : 15,598 = 15,598 : x
  2. Step 2: Convert to fraction form
    10,605/15,598 = 15,598/x
  3. Step 3: Cross multiply
    10,605x = 15,598 × 15,598
  4. Step 4: Simplify right side
    10,605x = 243,297,604
  5. Step 5: Solve for x
    x = 243,297,604/10,605
  6. Step 6: Final answer
    x = 22,941.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.