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Finding the Third Proportional to 17,866.50 and 31,813.50

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Solution

The third proportional to 17,866.50 and 31,813.50 is: 56,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,866.50 : 31,813.50 = 31,813.50 : x
  2. Step 2: Convert to fraction form
    17,866.50/31,813.50 = 31,813.50/x
  3. Step 3: Cross multiply
    17,866.50x = 31,813.50 × 31,813.50
  4. Step 4: Simplify right side
    17,866.50x = 1,012,098,782.25
  5. Step 5: Solve for x
    x = 1,012,098,782.25/17,866.50
  6. Step 6: Final answer
    x = 56,647.85

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.