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Finding the Third Proportional to 2,907.28 and 6,306.85

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Solution

The third proportional to 2,907.28 and 6,306.85 is: 13,681.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.28 : 6,306.85 = 6,306.85 : x
  2. Step 2: Convert to fraction form
    2,907.28/6,306.85 = 6,306.85/x
  3. Step 3: Cross multiply
    2,907.28x = 6,306.85 × 6,306.85
  4. Step 4: Simplify right side
    2,907.28x = 39,776,315.04
  5. Step 5: Solve for x
    x = 39,776,315.04/2,907.28
  6. Step 6: Final answer
    x = 13,681.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.