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Finding the Third Proportional to 32,287 and 48,463.50

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Solution

The third proportional to 32,287 and 48,463.50 is: 72,744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,287 : 48,463.50 = 48,463.50 : x
  2. Step 2: Convert to fraction form
    32,287/48,463.50 = 48,463.50/x
  3. Step 3: Cross multiply
    32,287x = 48,463.50 × 48,463.50
  4. Step 4: Simplify right side
    32,287x = 2,348,710,832.25
  5. Step 5: Solve for x
    x = 2,348,710,832.25/32,287
  6. Step 6: Final answer
    x = 72,744.78

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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.