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Finding the Third Proportional to 9,007.50 and 13,278.75

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Solution

The third proportional to 9,007.50 and 13,278.75 is: 19,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007.50 : 13,278.75 = 13,278.75 : x
  2. Step 2: Convert to fraction form
    9,007.50/13,278.75 = 13,278.75/x
  3. Step 3: Cross multiply
    9,007.50x = 13,278.75 × 13,278.75
  4. Step 4: Simplify right side
    9,007.50x = 176,325,201.56
  5. Step 5: Solve for x
    x = 176,325,201.56/9,007.50
  6. Step 6: Final answer
    x = 19,575.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.