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Finding the Third Proportional to 17,166 and 24,729

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Solution

The third proportional to 17,166 and 24,729 is: 35,624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,166 : 24,729 = 24,729 : x
  2. Step 2: Convert to fraction form
    17,166/24,729 = 24,729/x
  3. Step 3: Cross multiply
    17,166x = 24,729 × 24,729
  4. Step 4: Simplify right side
    17,166x = 611,523,441
  5. Step 5: Solve for x
    x = 611,523,441/17,166
  6. Step 6: Final answer
    x = 35,624.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.