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Finding the Third Proportional to 32,279 and 69,502

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Solution

The third proportional to 32,279 and 69,502 is: 149,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,279 : 69,502 = 69,502 : x
  2. Step 2: Convert to fraction form
    32,279/69,502 = 69,502/x
  3. Step 3: Cross multiply
    32,279x = 69,502 × 69,502
  4. Step 4: Simplify right side
    32,279x = 4,830,528,004
  5. Step 5: Solve for x
    x = 4,830,528,004/32,279
  6. Step 6: Final answer
    x = 149,649.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.