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Finding the Third Proportional to 32,290 and 48,467

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Solution

The third proportional to 32,290 and 48,467 is: 72,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,290 : 48,467 = 48,467 : x
  2. Step 2: Convert to fraction form
    32,290/48,467 = 48,467/x
  3. Step 3: Cross multiply
    32,290x = 48,467 × 48,467
  4. Step 4: Simplify right side
    32,290x = 2,349,050,089
  5. Step 5: Solve for x
    x = 2,349,050,089/32,290
  6. Step 6: Final answer
    x = 72,748.53

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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.