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Finding the Third Proportional to 2,119.75 and 4,641.13

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Solution

The third proportional to 2,119.75 and 4,641.13 is: 10,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.75 : 4,641.13 = 4,641.13 : x
  2. Step 2: Convert to fraction form
    2,119.75/4,641.13 = 4,641.13/x
  3. Step 3: Cross multiply
    2,119.75x = 4,641.13 × 4,641.13
  4. Step 4: Simplify right side
    2,119.75x = 21,540,041.27
  5. Step 5: Solve for x
    x = 21,540,041.27/2,119.75
  6. Step 6: Final answer
    x = 10,161.60

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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.