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Finding the Third Proportional to 7,855.88 and 9,582.75

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Solution

The third proportional to 7,855.88 and 9,582.75 is: 11,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.88 : 9,582.75 = 9,582.75 : x
  2. Step 2: Convert to fraction form
    7,855.88/9,582.75 = 9,582.75/x
  3. Step 3: Cross multiply
    7,855.88x = 9,582.75 × 9,582.75
  4. Step 4: Simplify right side
    7,855.88x = 91,829,097.56
  5. Step 5: Solve for x
    x = 91,829,097.56/7,855.88
  6. Step 6: Final answer
    x = 11,689.23

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.