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Finding the Third Proportional to 32,986 and 48,860

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Solution

The third proportional to 32,986 and 48,860 is: 72,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,986 : 48,860 = 48,860 : x
  2. Step 2: Convert to fraction form
    32,986/48,860 = 48,860/x
  3. Step 3: Cross multiply
    32,986x = 48,860 × 48,860
  4. Step 4: Simplify right side
    32,986x = 2,387,299,600
  5. Step 5: Solve for x
    x = 2,387,299,600/32,986
  6. Step 6: Final answer
    x = 72,373.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.