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Finding the Third Proportional to 26,730 and 41,386

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Solution

The third proportional to 26,730 and 41,386 is: 64,077.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,730 : 41,386 = 41,386 : x
  2. Step 2: Convert to fraction form
    26,730/41,386 = 41,386/x
  3. Step 3: Cross multiply
    26,730x = 41,386 × 41,386
  4. Step 4: Simplify right side
    26,730x = 1,712,800,996
  5. Step 5: Solve for x
    x = 1,712,800,996/26,730
  6. Step 6: Final answer
    x = 64,077.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.