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Finding the Third Proportional to 36,552 and 55,220

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Solution

The third proportional to 36,552 and 55,220 is: 83,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,552 : 55,220 = 55,220 : x
  2. Step 2: Convert to fraction form
    36,552/55,220 = 55,220/x
  3. Step 3: Cross multiply
    36,552x = 55,220 × 55,220
  4. Step 4: Simplify right side
    36,552x = 3,049,248,400
  5. Step 5: Solve for x
    x = 3,049,248,400/36,552
  6. Step 6: Final answer
    x = 83,422.20

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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.