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Finding the Third Proportional to 26,508 and 38,967

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Solution

The third proportional to 26,508 and 38,967 is: 57,281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,508 : 38,967 = 38,967 : x
  2. Step 2: Convert to fraction form
    26,508/38,967 = 38,967/x
  3. Step 3: Cross multiply
    26,508x = 38,967 × 38,967
  4. Step 4: Simplify right side
    26,508x = 1,518,427,089
  5. Step 5: Solve for x
    x = 1,518,427,089/26,508
  6. Step 6: Final answer
    x = 57,281.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.