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Finding the Third Proportional to 32,281 and 69,923

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Solution

The third proportional to 32,281 and 69,923 is: 151,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,281 : 69,923 = 69,923 : x
  2. Step 2: Convert to fraction form
    32,281/69,923 = 69,923/x
  3. Step 3: Cross multiply
    32,281x = 69,923 × 69,923
  4. Step 4: Simplify right side
    32,281x = 4,889,225,929
  5. Step 5: Solve for x
    x = 4,889,225,929/32,281
  6. Step 6: Final answer
    x = 151,458.32

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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.