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Finding the Third Proportional to 3,665.88 and 4,980.55

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Solution

The third proportional to 3,665.88 and 4,980.55 is: 6,766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.88 : 4,980.55 = 4,980.55 : x
  2. Step 2: Convert to fraction form
    3,665.88/4,980.55 = 4,980.55/x
  3. Step 3: Cross multiply
    3,665.88x = 4,980.55 × 4,980.55
  4. Step 4: Simplify right side
    3,665.88x = 24,805,886.08
  5. Step 5: Solve for x
    x = 24,805,886.08/3,665.88
  6. Step 6: Final answer
    x = 6,766.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.