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Finding the Third Proportional to 32,022.56 and 68,478.75

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Solution

The third proportional to 32,022.56 and 68,478.75 is: 146,438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,022.56 : 68,478.75 = 68,478.75 : x
  2. Step 2: Convert to fraction form
    32,022.56/68,478.75 = 68,478.75/x
  3. Step 3: Cross multiply
    32,022.56x = 68,478.75 × 68,478.75
  4. Step 4: Simplify right side
    32,022.56x = 4,689,339,201.56
  5. Step 5: Solve for x
    x = 4,689,339,201.56/32,022.56
  6. Step 6: Final answer
    x = 146,438.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.