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Finding the Third Proportional to 8,432 and 19,384

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Solution

The third proportional to 8,432 and 19,384 is: 44,561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432 : 19,384 = 19,384 : x
  2. Step 2: Convert to fraction form
    8,432/19,384 = 19,384/x
  3. Step 3: Cross multiply
    8,432x = 19,384 × 19,384
  4. Step 4: Simplify right side
    8,432x = 375,739,456
  5. Step 5: Solve for x
    x = 375,739,456/8,432
  6. Step 6: Final answer
    x = 44,561.13

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.