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Finding the Third Proportional to 31,271 and 63,815.50

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Solution

The third proportional to 31,271 and 63,815.50 is: 130,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,271 : 63,815.50 = 63,815.50 : x
  2. Step 2: Convert to fraction form
    31,271/63,815.50 = 63,815.50/x
  3. Step 3: Cross multiply
    31,271x = 63,815.50 × 63,815.50
  4. Step 4: Simplify right side
    31,271x = 4,072,418,040.25
  5. Step 5: Solve for x
    x = 4,072,418,040.25/31,271
  6. Step 6: Final answer
    x = 130,229.86

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.