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Finding the Third Proportional to 26,129 and 47,074

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Solution

The third proportional to 26,129 and 47,074 is: 84,808.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,129 : 47,074 = 47,074 : x
  2. Step 2: Convert to fraction form
    26,129/47,074 = 47,074/x
  3. Step 3: Cross multiply
    26,129x = 47,074 × 47,074
  4. Step 4: Simplify right side
    26,129x = 2,215,961,476
  5. Step 5: Solve for x
    x = 2,215,961,476/26,129
  6. Step 6: Final answer
    x = 84,808.51

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.