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Finding the Third Proportional to 31,932 and 70,388

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Solution

The third proportional to 31,932 and 70,388 is: 155,156.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,932 : 70,388 = 70,388 : x
  2. Step 2: Convert to fraction form
    31,932/70,388 = 70,388/x
  3. Step 3: Cross multiply
    31,932x = 70,388 × 70,388
  4. Step 4: Simplify right side
    31,932x = 4,954,470,544
  5. Step 5: Solve for x
    x = 4,954,470,544/31,932
  6. Step 6: Final answer
    x = 155,156.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.