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Finding the Third Proportional to 32,873 and 71,967

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Solution

The third proportional to 32,873 and 71,967 is: 157,553.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,873 : 71,967 = 71,967 : x
  2. Step 2: Convert to fraction form
    32,873/71,967 = 71,967/x
  3. Step 3: Cross multiply
    32,873x = 71,967 × 71,967
  4. Step 4: Simplify right side
    32,873x = 5,179,249,089
  5. Step 5: Solve for x
    x = 5,179,249,089/32,873
  6. Step 6: Final answer
    x = 157,553.28

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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.