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Finding the Third Proportional to 32,096.75 and 71,569.75

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Solution

The third proportional to 32,096.75 and 71,569.75 is: 159,587.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,096.75 : 71,569.75 = 71,569.75 : x
  2. Step 2: Convert to fraction form
    32,096.75/71,569.75 = 71,569.75/x
  3. Step 3: Cross multiply
    32,096.75x = 71,569.75 × 71,569.75
  4. Step 4: Simplify right side
    32,096.75x = 5,122,229,115.06
  5. Step 5: Solve for x
    x = 5,122,229,115.06/32,096.75
  6. Step 6: Final answer
    x = 159,587.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.