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Finding the Third Proportional to 9,174.75 and 15,078.75

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Solution

The third proportional to 9,174.75 and 15,078.75 is: 24,782.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.75 : 15,078.75 = 15,078.75 : x
  2. Step 2: Convert to fraction form
    9,174.75/15,078.75 = 15,078.75/x
  3. Step 3: Cross multiply
    9,174.75x = 15,078.75 × 15,078.75
  4. Step 4: Simplify right side
    9,174.75x = 227,368,701.56
  5. Step 5: Solve for x
    x = 227,368,701.56/9,174.75
  6. Step 6: Final answer
    x = 24,782.01

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.