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Finding the Third Proportional to 31,429.13 and 67,070.25

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Solution

The third proportional to 31,429.13 and 67,070.25 is: 143,128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,429.13 : 67,070.25 = 67,070.25 : x
  2. Step 2: Convert to fraction form
    31,429.13/67,070.25 = 67,070.25/x
  3. Step 3: Cross multiply
    31,429.13x = 67,070.25 × 67,070.25
  4. Step 4: Simplify right side
    31,429.13x = 4,498,418,435.06
  5. Step 5: Solve for x
    x = 4,498,418,435.06/31,429.13
  6. Step 6: Final answer
    x = 143,128.97

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.