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Finding the Third Proportional to 32,034 and 68,988

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Solution

The third proportional to 32,034 and 68,988 is: 148,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,034 : 68,988 = 68,988 : x
  2. Step 2: Convert to fraction form
    32,034/68,988 = 68,988/x
  3. Step 3: Cross multiply
    32,034x = 68,988 × 68,988
  4. Step 4: Simplify right side
    32,034x = 4,759,344,144
  5. Step 5: Solve for x
    x = 4,759,344,144/32,034
  6. Step 6: Final answer
    x = 148,571.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.