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Finding the Third Proportional to 32,331 and 49,360.50

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Solution

The third proportional to 32,331 and 49,360.50 is: 75,359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,331 : 49,360.50 = 49,360.50 : x
  2. Step 2: Convert to fraction form
    32,331/49,360.50 = 49,360.50/x
  3. Step 3: Cross multiply
    32,331x = 49,360.50 × 49,360.50
  4. Step 4: Simplify right side
    32,331x = 2,436,458,960.25
  5. Step 5: Solve for x
    x = 2,436,458,960.25/32,331
  6. Step 6: Final answer
    x = 75,359.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.