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Finding the Third Proportional to 9,825 and 14,758.50

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Solution

The third proportional to 9,825 and 14,758.50 is: 22,169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825 : 14,758.50 = 14,758.50 : x
  2. Step 2: Convert to fraction form
    9,825/14,758.50 = 14,758.50/x
  3. Step 3: Cross multiply
    9,825x = 14,758.50 × 14,758.50
  4. Step 4: Simplify right side
    9,825x = 217,813,322.25
  5. Step 5: Solve for x
    x = 217,813,322.25/9,825
  6. Step 6: Final answer
    x = 22,169.29

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Why These Related Problems?

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