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Finding the Third Proportional to 7,854.75 and 9,528.75

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Solution

The third proportional to 7,854.75 and 9,528.75 is: 11,559.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.75 : 9,528.75 = 9,528.75 : x
  2. Step 2: Convert to fraction form
    7,854.75/9,528.75 = 9,528.75/x
  3. Step 3: Cross multiply
    7,854.75x = 9,528.75 × 9,528.75
  4. Step 4: Simplify right side
    7,854.75x = 90,797,076.56
  5. Step 5: Solve for x
    x = 90,797,076.56/7,854.75
  6. Step 6: Final answer
    x = 11,559.51

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.