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Finding the Third Proportional to 14,285.50 and 31,883

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Solution

The third proportional to 14,285.50 and 31,883 is: 71,157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.50 : 31,883 = 31,883 : x
  2. Step 2: Convert to fraction form
    14,285.50/31,883 = 31,883/x
  3. Step 3: Cross multiply
    14,285.50x = 31,883 × 31,883
  4. Step 4: Simplify right side
    14,285.50x = 1,016,525,689
  5. Step 5: Solve for x
    x = 1,016,525,689/14,285.50
  6. Step 6: Final answer
    x = 71,157.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.