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Finding the Third Proportional to 9,821.25 and 14,753.25

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Solution

The third proportional to 9,821.25 and 14,753.25 is: 22,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.25 : 14,753.25 = 14,753.25 : x
  2. Step 2: Convert to fraction form
    9,821.25/14,753.25 = 14,753.25/x
  3. Step 3: Cross multiply
    9,821.25x = 14,753.25 × 14,753.25
  4. Step 4: Simplify right side
    9,821.25x = 217,658,385.56
  5. Step 5: Solve for x
    x = 217,658,385.56/9,821.25
  6. Step 6: Final answer
    x = 22,161.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.