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Finding the Third Proportional to 32,475 and 48,717

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Solution

The third proportional to 32,475 and 48,717 is: 73,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,475 : 48,717 = 48,717 : x
  2. Step 2: Convert to fraction form
    32,475/48,717 = 48,717/x
  3. Step 3: Cross multiply
    32,475x = 48,717 × 48,717
  4. Step 4: Simplify right side
    32,475x = 2,373,346,089
  5. Step 5: Solve for x
    x = 2,373,346,089/32,475
  6. Step 6: Final answer
    x = 73,082.25

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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.