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Finding the Third Proportional to 9,285.75 and 13,723.88

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Solution

The third proportional to 9,285.75 and 13,723.88 is: 20,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.75 : 13,723.88 = 13,723.88 : x
  2. Step 2: Convert to fraction form
    9,285.75/13,723.88 = 13,723.88/x
  3. Step 3: Cross multiply
    9,285.75x = 13,723.88 × 13,723.88
  4. Step 4: Simplify right side
    9,285.75x = 188,344,745.02
  5. Step 5: Solve for x
    x = 188,344,745.02/9,285.75
  6. Step 6: Final answer
    x = 20,283.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.