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Finding the Third Proportional to 26,712 and 38,498

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Solution

The third proportional to 26,712 and 38,498 is: 55,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,712 : 38,498 = 38,498 : x
  2. Step 2: Convert to fraction form
    26,712/38,498 = 38,498/x
  3. Step 3: Cross multiply
    26,712x = 38,498 × 38,498
  4. Step 4: Simplify right side
    26,712x = 1,482,096,004
  5. Step 5: Solve for x
    x = 1,482,096,004/26,712
  6. Step 6: Final answer
    x = 55,484.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.