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Finding the Third Proportional to 32,865 and 70,659

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Solution

The third proportional to 32,865 and 70,659 is: 151,915.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,865 : 70,659 = 70,659 : x
  2. Step 2: Convert to fraction form
    32,865/70,659 = 70,659/x
  3. Step 3: Cross multiply
    32,865x = 70,659 × 70,659
  4. Step 4: Simplify right side
    32,865x = 4,992,694,281
  5. Step 5: Solve for x
    x = 4,992,694,281/32,865
  6. Step 6: Final answer
    x = 151,915.24

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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.