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Finding the Third Proportional to 31,888 and 65,068

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Solution

The third proportional to 31,888 and 65,068 is: 132,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,888 : 65,068 = 65,068 : x
  2. Step 2: Convert to fraction form
    31,888/65,068 = 65,068/x
  3. Step 3: Cross multiply
    31,888x = 65,068 × 65,068
  4. Step 4: Simplify right side
    31,888x = 4,233,844,624
  5. Step 5: Solve for x
    x = 4,233,844,624/31,888
  6. Step 6: Final answer
    x = 132,772.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.