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Finding the Third Proportional to 14,800 and 32,424

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Solution

The third proportional to 14,800 and 32,424 is: 71,034.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,800 : 32,424 = 32,424 : x
  2. Step 2: Convert to fraction form
    14,800/32,424 = 32,424/x
  3. Step 3: Cross multiply
    14,800x = 32,424 × 32,424
  4. Step 4: Simplify right side
    14,800x = 1,051,315,776
  5. Step 5: Solve for x
    x = 1,051,315,776/14,800
  6. Step 6: Final answer
    x = 71,034.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.