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Finding the Third Proportional to 32,285 and 69,670

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Solution

The third proportional to 32,285 and 69,670 is: 150,345.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,285 : 69,670 = 69,670 : x
  2. Step 2: Convert to fraction form
    32,285/69,670 = 69,670/x
  3. Step 3: Cross multiply
    32,285x = 69,670 × 69,670
  4. Step 4: Simplify right side
    32,285x = 4,853,908,900
  5. Step 5: Solve for x
    x = 4,853,908,900/32,285
  6. Step 6: Final answer
    x = 150,345.64

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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.