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Finding the Third Proportional to 36,151 and 55,637

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Solution

The third proportional to 36,151 and 55,637 is: 85,626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,151 : 55,637 = 55,637 : x
  2. Step 2: Convert to fraction form
    36,151/55,637 = 55,637/x
  3. Step 3: Cross multiply
    36,151x = 55,637 × 55,637
  4. Step 4: Simplify right side
    36,151x = 3,095,475,769
  5. Step 5: Solve for x
    x = 3,095,475,769/36,151
  6. Step 6: Final answer
    x = 85,626.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.