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Finding the Third Proportional to 16,160 and 34,624

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Solution

The third proportional to 16,160 and 34,624 is: 74,184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,160 : 34,624 = 34,624 : x
  2. Step 2: Convert to fraction form
    16,160/34,624 = 34,624/x
  3. Step 3: Cross multiply
    16,160x = 34,624 × 34,624
  4. Step 4: Simplify right side
    16,160x = 1,198,821,376
  5. Step 5: Solve for x
    x = 1,198,821,376/16,160
  6. Step 6: Final answer
    x = 74,184.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.