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Finding the Third Proportional to 39,268 and 59,720

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Solution

The third proportional to 39,268 and 59,720 is: 90,824.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,268 : 59,720 = 59,720 : x
  2. Step 2: Convert to fraction form
    39,268/59,720 = 59,720/x
  3. Step 3: Cross multiply
    39,268x = 59,720 × 59,720
  4. Step 4: Simplify right side
    39,268x = 3,566,478,400
  5. Step 5: Solve for x
    x = 3,566,478,400/39,268
  6. Step 6: Final answer
    x = 90,824.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.