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Finding the Third Proportional to 32,477 and 48,720

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Solution

The third proportional to 32,477 and 48,720 is: 73,086.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,477 : 48,720 = 48,720 : x
  2. Step 2: Convert to fraction form
    32,477/48,720 = 48,720/x
  3. Step 3: Cross multiply
    32,477x = 48,720 × 48,720
  4. Step 4: Simplify right side
    32,477x = 2,373,638,400
  5. Step 5: Solve for x
    x = 2,373,638,400/32,477
  6. Step 6: Final answer
    x = 73,086.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.