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Finding the Third Proportional to 2,187.67 and 4,800.55

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Solution

The third proportional to 2,187.67 and 4,800.55 is: 10,534.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.67 : 4,800.55 = 4,800.55 : x
  2. Step 2: Convert to fraction form
    2,187.67/4,800.55 = 4,800.55/x
  3. Step 3: Cross multiply
    2,187.67x = 4,800.55 × 4,800.55
  4. Step 4: Simplify right side
    2,187.67x = 23,045,287.80
  5. Step 5: Solve for x
    x = 23,045,287.80/2,187.67
  6. Step 6: Final answer
    x = 10,534.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.