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Finding the Third Proportional to 31,302 and 55,668

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Solution

The third proportional to 31,302 and 55,668 is: 99,000.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,302 : 55,668 = 55,668 : x
  2. Step 2: Convert to fraction form
    31,302/55,668 = 55,668/x
  3. Step 3: Cross multiply
    31,302x = 55,668 × 55,668
  4. Step 4: Simplify right side
    31,302x = 3,098,926,224
  5. Step 5: Solve for x
    x = 3,098,926,224/31,302
  6. Step 6: Final answer
    x = 99,000.90

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.