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Finding the Third Proportional to 31,012.25 and 67,934.63

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Solution

The third proportional to 31,012.25 and 67,934.63 is: 148,815.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.25 : 67,934.63 = 67,934.63 : x
  2. Step 2: Convert to fraction form
    31,012.25/67,934.63 = 67,934.63/x
  3. Step 3: Cross multiply
    31,012.25x = 67,934.63 × 67,934.63
  4. Step 4: Simplify right side
    31,012.25x = 4,615,113,273.89
  5. Step 5: Solve for x
    x = 4,615,113,273.89/31,012.25
  6. Step 6: Final answer
    x = 148,815.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.