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Finding the Third Proportional to 32,917.50 and 47,882.25

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Solution

The third proportional to 32,917.50 and 47,882.25 is: 69,650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,917.50 : 47,882.25 = 47,882.25 : x
  2. Step 2: Convert to fraction form
    32,917.50/47,882.25 = 47,882.25/x
  3. Step 3: Cross multiply
    32,917.50x = 47,882.25 × 47,882.25
  4. Step 4: Simplify right side
    32,917.50x = 2,292,709,865.06
  5. Step 5: Solve for x
    x = 2,292,709,865.06/32,917.50
  6. Step 6: Final answer
    x = 69,650.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.