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Finding the Third Proportional to 19,870.50 and 27,850

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Solution

The third proportional to 19,870.50 and 27,850 is: 39,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870.50 : 27,850 = 27,850 : x
  2. Step 2: Convert to fraction form
    19,870.50/27,850 = 27,850/x
  3. Step 3: Cross multiply
    19,870.50x = 27,850 × 27,850
  4. Step 4: Simplify right side
    19,870.50x = 775,622,500
  5. Step 5: Solve for x
    x = 775,622,500/19,870.50
  6. Step 6: Final answer
    x = 39,033.87

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.