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Finding the Third Proportional to 36,534 and 55,331

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Solution

The third proportional to 36,534 and 55,331 is: 83,799.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,534 : 55,331 = 55,331 : x
  2. Step 2: Convert to fraction form
    36,534/55,331 = 55,331/x
  3. Step 3: Cross multiply
    36,534x = 55,331 × 55,331
  4. Step 4: Simplify right side
    36,534x = 3,061,519,561
  5. Step 5: Solve for x
    x = 3,061,519,561/36,534
  6. Step 6: Final answer
    x = 83,799.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.