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Finding the Third Proportional to 32,862 and 71,877

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Solution

The third proportional to 32,862 and 71,877 is: 157,212.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,862 : 71,877 = 71,877 : x
  2. Step 2: Convert to fraction form
    32,862/71,877 = 71,877/x
  3. Step 3: Cross multiply
    32,862x = 71,877 × 71,877
  4. Step 4: Simplify right side
    32,862x = 5,166,303,129
  5. Step 5: Solve for x
    x = 5,166,303,129/32,862
  6. Step 6: Final answer
    x = 157,212.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.