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Finding the Third Proportional to 26,585 and 41,139

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Solution

The third proportional to 26,585 and 41,139 is: 63,660.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,585 : 41,139 = 41,139 : x
  2. Step 2: Convert to fraction form
    26,585/41,139 = 41,139/x
  3. Step 3: Cross multiply
    26,585x = 41,139 × 41,139
  4. Step 4: Simplify right side
    26,585x = 1,692,417,321
  5. Step 5: Solve for x
    x = 1,692,417,321/26,585
  6. Step 6: Final answer
    x = 63,660.61

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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.