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Finding the Third Proportional to 32,482 and 71,039

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Solution

The third proportional to 32,482 and 71,039 is: 155,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,482 : 71,039 = 71,039 : x
  2. Step 2: Convert to fraction form
    32,482/71,039 = 71,039/x
  3. Step 3: Cross multiply
    32,482x = 71,039 × 71,039
  4. Step 4: Simplify right side
    32,482x = 5,046,539,521
  5. Step 5: Solve for x
    x = 5,046,539,521/32,482
  6. Step 6: Final answer
    x = 155,364.19

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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.