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Finding the Third Proportional to 32,929 and 71,005

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Solution

The third proportional to 32,929 and 71,005 is: 153,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,929 : 71,005 = 71,005 : x
  2. Step 2: Convert to fraction form
    32,929/71,005 = 71,005/x
  3. Step 3: Cross multiply
    32,929x = 71,005 × 71,005
  4. Step 4: Simplify right side
    32,929x = 5,041,710,025
  5. Step 5: Solve for x
    x = 5,041,710,025/32,929
  6. Step 6: Final answer
    x = 153,108.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.