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Finding the Third Proportional to 26,862 and 37,760

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Solution

The third proportional to 26,862 and 37,760 is: 53,079.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,862 : 37,760 = 37,760 : x
  2. Step 2: Convert to fraction form
    26,862/37,760 = 37,760/x
  3. Step 3: Cross multiply
    26,862x = 37,760 × 37,760
  4. Step 4: Simplify right side
    26,862x = 1,425,817,600
  5. Step 5: Solve for x
    x = 1,425,817,600/26,862
  6. Step 6: Final answer
    x = 53,079.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.