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Finding the Third Proportional to 32,718 and 70,659

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Solution

The third proportional to 32,718 and 70,659 is: 152,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,718 : 70,659 = 70,659 : x
  2. Step 2: Convert to fraction form
    32,718/70,659 = 70,659/x
  3. Step 3: Cross multiply
    32,718x = 70,659 × 70,659
  4. Step 4: Simplify right side
    32,718x = 4,992,694,281
  5. Step 5: Solve for x
    x = 4,992,694,281/32,718
  6. Step 6: Final answer
    x = 152,597.78

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Why These Related Problems?

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