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Finding the Third Proportional to 31,643.16 and 67,713.47

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Solution

The third proportional to 31,643.16 and 67,713.47 is: 144,900.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,643.16 : 67,713.47 = 67,713.47 : x
  2. Step 2: Convert to fraction form
    31,643.16/67,713.47 = 67,713.47/x
  3. Step 3: Cross multiply
    31,643.16x = 67,713.47 × 67,713.47
  4. Step 4: Simplify right side
    31,643.16x = 4,585,113,850.16
  5. Step 5: Solve for x
    x = 4,585,113,850.16/31,643.16
  6. Step 6: Final answer
    x = 144,900.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.