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Finding the Third Proportional to 32,071.50 and 48,249

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Solution

The third proportional to 32,071.50 and 48,249 is: 72,586.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,071.50 : 48,249 = 48,249 : x
  2. Step 2: Convert to fraction form
    32,071.50/48,249 = 48,249/x
  3. Step 3: Cross multiply
    32,071.50x = 48,249 × 48,249
  4. Step 4: Simplify right side
    32,071.50x = 2,327,966,001
  5. Step 5: Solve for x
    x = 2,327,966,001/32,071.50
  6. Step 6: Final answer
    x = 72,586.75

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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.