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Finding the Third Proportional to 17,552 and 24,690

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Solution

The third proportional to 17,552 and 24,690 is: 34,730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,552 : 24,690 = 24,690 : x
  2. Step 2: Convert to fraction form
    17,552/24,690 = 24,690/x
  3. Step 3: Cross multiply
    17,552x = 24,690 × 24,690
  4. Step 4: Simplify right side
    17,552x = 609,596,100
  5. Step 5: Solve for x
    x = 609,596,100/17,552
  6. Step 6: Final answer
    x = 34,730.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.