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Finding the Third Proportional to 26,272 and 38,432

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Solution

The third proportional to 26,272 and 38,432 is: 56,220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,272 : 38,432 = 38,432 : x
  2. Step 2: Convert to fraction form
    26,272/38,432 = 38,432/x
  3. Step 3: Cross multiply
    26,272x = 38,432 × 38,432
  4. Step 4: Simplify right side
    26,272x = 1,477,018,624
  5. Step 5: Solve for x
    x = 1,477,018,624/26,272
  6. Step 6: Final answer
    x = 56,220.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.