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Finding the Third Proportional to 31,044.09 and 67,489.03

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Solution

The third proportional to 31,044.09 and 67,489.03 is: 146,719.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,044.09 : 67,489.03 = 67,489.03 : x
  2. Step 2: Convert to fraction form
    31,044.09/67,489.03 = 67,489.03/x
  3. Step 3: Cross multiply
    31,044.09x = 67,489.03 × 67,489.03
  4. Step 4: Simplify right side
    31,044.09x = 4,554,769,339.06
  5. Step 5: Solve for x
    x = 4,554,769,339.06/31,044.09
  6. Step 6: Final answer
    x = 146,719.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.