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Finding the Third Proportional to 4,680.28 and 6,582.52

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Solution

The third proportional to 4,680.28 and 6,582.52 is: 9,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.28 : 6,582.52 = 6,582.52 : x
  2. Step 2: Convert to fraction form
    4,680.28/6,582.52 = 6,582.52/x
  3. Step 3: Cross multiply
    4,680.28x = 6,582.52 × 6,582.52
  4. Step 4: Simplify right side
    4,680.28x = 43,329,511.95
  5. Step 5: Solve for x
    x = 43,329,511.95/4,680.28
  6. Step 6: Final answer
    x = 9,257.89

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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.