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Finding the Third Proportional to 31,073.63 and 67,398.33

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Solution

The third proportional to 31,073.63 and 67,398.33 is: 146,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,073.63 : 67,398.33 = 67,398.33 : x
  2. Step 2: Convert to fraction form
    31,073.63/67,398.33 = 67,398.33/x
  3. Step 3: Cross multiply
    31,073.63x = 67,398.33 × 67,398.33
  4. Step 4: Simplify right side
    31,073.63x = 4,542,534,634.05
  5. Step 5: Solve for x
    x = 4,542,534,634.05/31,073.63
  6. Step 6: Final answer
    x = 146,186.18

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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.