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Finding the Third Proportional to 36,160 and 55,982

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Solution

The third proportional to 36,160 and 55,982 is: 86,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,160 : 55,982 = 55,982 : x
  2. Step 2: Convert to fraction form
    36,160/55,982 = 55,982/x
  3. Step 3: Cross multiply
    36,160x = 55,982 × 55,982
  4. Step 4: Simplify right side
    36,160x = 3,133,984,324
  5. Step 5: Solve for x
    x = 3,133,984,324/36,160
  6. Step 6: Final answer
    x = 86,669.92

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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.