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Finding the Third Proportional to 9,853.60 and 15,299.75

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Solution

The third proportional to 9,853.60 and 15,299.75 is: 23,756.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.60 : 15,299.75 = 15,299.75 : x
  2. Step 2: Convert to fraction form
    9,853.60/15,299.75 = 15,299.75/x
  3. Step 3: Cross multiply
    9,853.60x = 15,299.75 × 15,299.75
  4. Step 4: Simplify right side
    9,853.60x = 234,082,200.65
  5. Step 5: Solve for x
    x = 234,082,200.65/9,853.60
  6. Step 6: Final answer
    x = 23,756.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.