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Finding the Third Proportional to 31,095 and 67,707

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Solution

The third proportional to 31,095 and 67,707 is: 147,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,095 : 67,707 = 67,707 : x
  2. Step 2: Convert to fraction form
    31,095/67,707 = 67,707/x
  3. Step 3: Cross multiply
    31,095x = 67,707 × 67,707
  4. Step 4: Simplify right side
    31,095x = 4,584,237,849
  5. Step 5: Solve for x
    x = 4,584,237,849/31,095
  6. Step 6: Final answer
    x = 147,426.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.