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Finding the Third Proportional to 31,341.09 and 68,397.75

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Solution

The third proportional to 31,341.09 and 68,397.75 is: 149,268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,341.09 : 68,397.75 = 68,397.75 : x
  2. Step 2: Convert to fraction form
    31,341.09/68,397.75 = 68,397.75/x
  3. Step 3: Cross multiply
    31,341.09x = 68,397.75 × 68,397.75
  4. Step 4: Simplify right side
    31,341.09x = 4,678,252,205.06
  5. Step 5: Solve for x
    x = 4,678,252,205.06/31,341.09
  6. Step 6: Final answer
    x = 149,268.95

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