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Finding the Third Proportional to 14,432 and 23,952

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Solution

The third proportional to 14,432 and 23,952 is: 39,751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432 : 23,952 = 23,952 : x
  2. Step 2: Convert to fraction form
    14,432/23,952 = 23,952/x
  3. Step 3: Cross multiply
    14,432x = 23,952 × 23,952
  4. Step 4: Simplify right side
    14,432x = 573,698,304
  5. Step 5: Solve for x
    x = 573,698,304/14,432
  6. Step 6: Final answer
    x = 39,751.82

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.