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Finding the Third Proportional to 32,295 and 69,686

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Solution

The third proportional to 32,295 and 69,686 is: 150,368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,295 : 69,686 = 69,686 : x
  2. Step 2: Convert to fraction form
    32,295/69,686 = 69,686/x
  3. Step 3: Cross multiply
    32,295x = 69,686 × 69,686
  4. Step 4: Simplify right side
    32,295x = 4,856,138,596
  5. Step 5: Solve for x
    x = 4,856,138,596/32,295
  6. Step 6: Final answer
    x = 150,368.12

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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.