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Finding the Third Proportional to 32,929 and 72,579

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Solution

The third proportional to 32,929 and 72,579 is: 159,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,929 : 72,579 = 72,579 : x
  2. Step 2: Convert to fraction form
    32,929/72,579 = 72,579/x
  3. Step 3: Cross multiply
    32,929x = 72,579 × 72,579
  4. Step 4: Simplify right side
    32,929x = 5,267,711,241
  5. Step 5: Solve for x
    x = 5,267,711,241/32,929
  6. Step 6: Final answer
    x = 159,971.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.