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Finding the Third Proportional to 2,189.85 and 4,701.48

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Solution

The third proportional to 2,189.85 and 4,701.48 is: 10,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.85 : 4,701.48 = 4,701.48 : x
  2. Step 2: Convert to fraction form
    2,189.85/4,701.48 = 4,701.48/x
  3. Step 3: Cross multiply
    2,189.85x = 4,701.48 × 4,701.48
  4. Step 4: Simplify right side
    2,189.85x = 22,103,918.60
  5. Step 5: Solve for x
    x = 22,103,918.60/2,189.85
  6. Step 6: Final answer
    x = 10,093.82

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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.