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Finding the Third Proportional to 6,594.75 and 9,277.88

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Solution

The third proportional to 6,594.75 and 9,277.88 is: 13,052.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.75 : 9,277.88 = 9,277.88 : x
  2. Step 2: Convert to fraction form
    6,594.75/9,277.88 = 9,277.88/x
  3. Step 3: Cross multiply
    6,594.75x = 9,277.88 × 9,277.88
  4. Step 4: Simplify right side
    6,594.75x = 86,078,964.52
  5. Step 5: Solve for x
    x = 86,078,964.52/6,594.75
  6. Step 6: Final answer
    x = 13,052.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.