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Finding the Third Proportional to 31,643.16 and 68,290.59

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Solution

The third proportional to 31,643.16 and 68,290.59 is: 147,381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,643.16 : 68,290.59 = 68,290.59 : x
  2. Step 2: Convert to fraction form
    31,643.16/68,290.59 = 68,290.59/x
  3. Step 3: Cross multiply
    31,643.16x = 68,290.59 × 68,290.59
  4. Step 4: Simplify right side
    31,643.16x = 4,663,605,194.73
  5. Step 5: Solve for x
    x = 4,663,605,194.73/31,643.16
  6. Step 6: Final answer
    x = 147,381.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.