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Finding the Third Proportional to 32,202 and 49,758.75

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Solution

The third proportional to 32,202 and 49,758.75 is: 76,887.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,202 : 49,758.75 = 49,758.75 : x
  2. Step 2: Convert to fraction form
    32,202/49,758.75 = 49,758.75/x
  3. Step 3: Cross multiply
    32,202x = 49,758.75 × 49,758.75
  4. Step 4: Simplify right side
    32,202x = 2,475,933,201.56
  5. Step 5: Solve for x
    x = 2,475,933,201.56/32,202
  6. Step 6: Final answer
    x = 76,887.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.