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Finding the Third Proportional to 14,121.75 and 30,432.38

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Solution

The third proportional to 14,121.75 and 30,432.38 is: 65,581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121.75 : 30,432.38 = 30,432.38 : x
  2. Step 2: Convert to fraction form
    14,121.75/30,432.38 = 30,432.38/x
  3. Step 3: Cross multiply
    14,121.75x = 30,432.38 × 30,432.38
  4. Step 4: Simplify right side
    14,121.75x = 926,129,448.14
  5. Step 5: Solve for x
    x = 926,129,448.14/14,121.75
  6. Step 6: Final answer
    x = 65,581.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.