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Finding the Third Proportional to 32,949 and 71,862.75

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Solution

The third proportional to 32,949 and 71,862.75 is: 156,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,949 : 71,862.75 = 71,862.75 : x
  2. Step 2: Convert to fraction form
    32,949/71,862.75 = 71,862.75/x
  3. Step 3: Cross multiply
    32,949x = 71,862.75 × 71,862.75
  4. Step 4: Simplify right side
    32,949x = 5,164,254,837.56
  5. Step 5: Solve for x
    x = 5,164,254,837.56/32,949
  6. Step 6: Final answer
    x = 156,734.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.