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Finding the Third Proportional to 9,868.50 and 12,803.25

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Solution

The third proportional to 9,868.50 and 12,803.25 is: 16,610.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.50 : 12,803.25 = 12,803.25 : x
  2. Step 2: Convert to fraction form
    9,868.50/12,803.25 = 12,803.25/x
  3. Step 3: Cross multiply
    9,868.50x = 12,803.25 × 12,803.25
  4. Step 4: Simplify right side
    9,868.50x = 163,923,210.56
  5. Step 5: Solve for x
    x = 163,923,210.56/9,868.50
  6. Step 6: Final answer
    x = 16,610.75

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.