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Finding the Third Proportional to 39,720 and 55,890

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Solution

The third proportional to 39,720 and 55,890 is: 78,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,720 : 55,890 = 55,890 : x
  2. Step 2: Convert to fraction form
    39,720/55,890 = 55,890/x
  3. Step 3: Cross multiply
    39,720x = 55,890 × 55,890
  4. Step 4: Simplify right side
    39,720x = 3,123,692,100
  5. Step 5: Solve for x
    x = 3,123,692,100/39,720
  6. Step 6: Final answer
    x = 78,642.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.