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Finding the Third Proportional to 26,432 and 30,272

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Solution

The third proportional to 26,432 and 30,272 is: 34,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,432 : 30,272 = 30,272 : x
  2. Step 2: Convert to fraction form
    26,432/30,272 = 30,272/x
  3. Step 3: Cross multiply
    26,432x = 30,272 × 30,272
  4. Step 4: Simplify right side
    26,432x = 916,393,984
  5. Step 5: Solve for x
    x = 916,393,984/26,432
  6. Step 6: Final answer
    x = 34,669.87

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.