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Finding the Third Proportional to 32,493.66 and 48,524.06

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Solution

The third proportional to 32,493.66 and 48,524.06 is: 72,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,493.66 : 48,524.06 = 48,524.06 : x
  2. Step 2: Convert to fraction form
    32,493.66/48,524.06 = 48,524.06/x
  3. Step 3: Cross multiply
    32,493.66x = 48,524.06 × 48,524.06
  4. Step 4: Simplify right side
    32,493.66x = 2,354,584,641.50
  5. Step 5: Solve for x
    x = 2,354,584,641.50/32,493.66
  6. Step 6: Final answer
    x = 72,462.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.