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Finding the Third Proportional to 31,332 and 58,236

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Solution

The third proportional to 31,332 and 58,236 is: 108,241.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,332 : 58,236 = 58,236 : x
  2. Step 2: Convert to fraction form
    31,332/58,236 = 58,236/x
  3. Step 3: Cross multiply
    31,332x = 58,236 × 58,236
  4. Step 4: Simplify right side
    31,332x = 3,391,431,696
  5. Step 5: Solve for x
    x = 3,391,431,696/31,332
  6. Step 6: Final answer
    x = 108,241.79

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.