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Finding the Third Proportional to 2,121.61 and 4,566.80

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Solution

The third proportional to 2,121.61 and 4,566.80 is: 9,830.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.61 : 4,566.80 = 4,566.80 : x
  2. Step 2: Convert to fraction form
    2,121.61/4,566.80 = 4,566.80/x
  3. Step 3: Cross multiply
    2,121.61x = 4,566.80 × 4,566.80
  4. Step 4: Simplify right side
    2,121.61x = 20,855,633.70
  5. Step 5: Solve for x
    x = 20,855,633.70/2,121.61
  6. Step 6: Final answer
    x = 9,830.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.