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Finding the Third Proportional to 26,712 and 38,690

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Solution

The third proportional to 26,712 and 38,690 is: 56,039.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,712 : 38,690 = 38,690 : x
  2. Step 2: Convert to fraction form
    26,712/38,690 = 38,690/x
  3. Step 3: Cross multiply
    26,712x = 38,690 × 38,690
  4. Step 4: Simplify right side
    26,712x = 1,496,916,100
  5. Step 5: Solve for x
    x = 1,496,916,100/26,712
  6. Step 6: Final answer
    x = 56,039.09

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.