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Finding the Third Proportional to 26,134 and 39,263

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Solution

The third proportional to 26,134 and 39,263 is: 58,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,134 : 39,263 = 39,263 : x
  2. Step 2: Convert to fraction form
    26,134/39,263 = 39,263/x
  3. Step 3: Cross multiply
    26,134x = 39,263 × 39,263
  4. Step 4: Simplify right side
    26,134x = 1,541,583,169
  5. Step 5: Solve for x
    x = 1,541,583,169/26,134
  6. Step 6: Final answer
    x = 58,987.65

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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.