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Finding the Third Proportional to 9,731.50 and 14,883

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Solution

The third proportional to 9,731.50 and 14,883 is: 22,761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.50 : 14,883 = 14,883 : x
  2. Step 2: Convert to fraction form
    9,731.50/14,883 = 14,883/x
  3. Step 3: Cross multiply
    9,731.50x = 14,883 × 14,883
  4. Step 4: Simplify right side
    9,731.50x = 221,503,689
  5. Step 5: Solve for x
    x = 221,503,689/9,731.50
  6. Step 6: Final answer
    x = 22,761.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.