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Finding the Third Proportional to 31,267 and 63,807.50

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Solution

The third proportional to 31,267 and 63,807.50 is: 130,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,267 : 63,807.50 = 63,807.50 : x
  2. Step 2: Convert to fraction form
    31,267/63,807.50 = 63,807.50/x
  3. Step 3: Cross multiply
    31,267x = 63,807.50 × 63,807.50
  4. Step 4: Simplify right side
    31,267x = 4,071,397,056.25
  5. Step 5: Solve for x
    x = 4,071,397,056.25/31,267
  6. Step 6: Final answer
    x = 130,213.87

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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.