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Finding the Third Proportional to 31,898.25 and 69,843.38

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Solution

The third proportional to 31,898.25 and 69,843.38 is: 152,926.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,898.25 : 69,843.38 = 69,843.38 : x
  2. Step 2: Convert to fraction form
    31,898.25/69,843.38 = 69,843.38/x
  3. Step 3: Cross multiply
    31,898.25x = 69,843.38 × 69,843.38
  4. Step 4: Simplify right side
    31,898.25x = 4,878,097,031.39
  5. Step 5: Solve for x
    x = 4,878,097,031.39/31,898.25
  6. Step 6: Final answer
    x = 152,926.79

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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.