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Finding the Third Proportional to 32,364 and 69,390

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Solution

The third proportional to 32,364 and 69,390 is: 148,775.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,364 : 69,390 = 69,390 : x
  2. Step 2: Convert to fraction form
    32,364/69,390 = 69,390/x
  3. Step 3: Cross multiply
    32,364x = 69,390 × 69,390
  4. Step 4: Simplify right side
    32,364x = 4,814,972,100
  5. Step 5: Solve for x
    x = 4,814,972,100/32,364
  6. Step 6: Final answer
    x = 148,775.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.