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Finding the Third Proportional to 31,429.13 and 67,775.63

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Solution

The third proportional to 31,429.13 and 67,775.63 is: 146,155.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,429.13 : 67,775.63 = 67,775.63 : x
  2. Step 2: Convert to fraction form
    31,429.13/67,775.63 = 67,775.63/x
  3. Step 3: Cross multiply
    31,429.13x = 67,775.63 × 67,775.63
  4. Step 4: Simplify right side
    31,429.13x = 4,593,535,344.14
  5. Step 5: Solve for x
    x = 4,593,535,344.14/31,429.13
  6. Step 6: Final answer
    x = 146,155.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.