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Finding the Third Proportional to 6,338.88 and 9,277.66

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Solution

The third proportional to 6,338.88 and 9,277.66 is: 13,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.88 : 9,277.66 = 9,277.66 : x
  2. Step 2: Convert to fraction form
    6,338.88/9,277.66 = 9,277.66/x
  3. Step 3: Cross multiply
    6,338.88x = 9,277.66 × 9,277.66
  4. Step 4: Simplify right side
    6,338.88x = 86,075,050.46
  5. Step 5: Solve for x
    x = 86,075,050.46/6,338.88
  6. Step 6: Final answer
    x = 13,578.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.