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Finding the Third Proportional to 32,862 and 71,595

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Solution

The third proportional to 32,862 and 71,595 is: 155,980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,862 : 71,595 = 71,595 : x
  2. Step 2: Convert to fraction form
    32,862/71,595 = 71,595/x
  3. Step 3: Cross multiply
    32,862x = 71,595 × 71,595
  4. Step 4: Simplify right side
    32,862x = 5,125,844,025
  5. Step 5: Solve for x
    x = 5,125,844,025/32,862
  6. Step 6: Final answer
    x = 155,980.89

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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.