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Finding the Third Proportional to 26,134 and 39,259.88

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Solution

The third proportional to 26,134 and 39,259.88 is: 58,978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,134 : 39,259.88 = 39,259.88 : x
  2. Step 2: Convert to fraction form
    26,134/39,259.88 = 39,259.88/x
  3. Step 3: Cross multiply
    26,134x = 39,259.88 × 39,259.88
  4. Step 4: Simplify right side
    26,134x = 1,541,337,785.02
  5. Step 5: Solve for x
    x = 1,541,337,785.02/26,134
  6. Step 6: Final answer
    x = 58,978.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.