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Finding the Third Proportional to 2,188.13 and 4,740.38

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Solution

The third proportional to 2,188.13 and 4,740.38 is: 10,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.13 : 4,740.38 = 4,740.38 : x
  2. Step 2: Convert to fraction form
    2,188.13/4,740.38 = 4,740.38/x
  3. Step 3: Cross multiply
    2,188.13x = 4,740.38 × 4,740.38
  4. Step 4: Simplify right side
    2,188.13x = 22,471,155.14
  5. Step 5: Solve for x
    x = 22,471,155.14/2,188.13
  6. Step 6: Final answer
    x = 10,269.59

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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.