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Finding the Third Proportional to 1,911.38 and 4,744.13

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Solution

The third proportional to 1,911.38 and 4,744.13 is: 11,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.38 : 4,744.13 = 4,744.13 : x
  2. Step 2: Convert to fraction form
    1,911.38/4,744.13 = 4,744.13/x
  3. Step 3: Cross multiply
    1,911.38x = 4,744.13 × 4,744.13
  4. Step 4: Simplify right side
    1,911.38x = 22,506,722.02
  5. Step 5: Solve for x
    x = 22,506,722.02/1,911.38
  6. Step 6: Final answer
    x = 11,775.15

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.