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Finding the Third Proportional to 32,508 and 70,686

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Solution

The third proportional to 32,508 and 70,686 is: 153,700.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,508 : 70,686 = 70,686 : x
  2. Step 2: Convert to fraction form
    32,508/70,686 = 70,686/x
  3. Step 3: Cross multiply
    32,508x = 70,686 × 70,686
  4. Step 4: Simplify right side
    32,508x = 4,996,510,596
  5. Step 5: Solve for x
    x = 4,996,510,596/32,508
  6. Step 6: Final answer
    x = 153,700.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.