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Finding the Third Proportional to 32,033 and 48,839.50

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Solution

The third proportional to 32,033 and 48,839.50 is: 74,463.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,033 : 48,839.50 = 48,839.50 : x
  2. Step 2: Convert to fraction form
    32,033/48,839.50 = 48,839.50/x
  3. Step 3: Cross multiply
    32,033x = 48,839.50 × 48,839.50
  4. Step 4: Simplify right side
    32,033x = 2,385,296,760.25
  5. Step 5: Solve for x
    x = 2,385,296,760.25/32,033
  6. Step 6: Final answer
    x = 74,463.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.