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Finding the Third Proportional to 2,019.75 and 2,963.11

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Solution

The third proportional to 2,019.75 and 2,963.11 is: 4,347.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.75 : 2,963.11 = 2,963.11 : x
  2. Step 2: Convert to fraction form
    2,019.75/2,963.11 = 2,963.11/x
  3. Step 3: Cross multiply
    2,019.75x = 2,963.11 × 2,963.11
  4. Step 4: Simplify right side
    2,019.75x = 8,780,017.17
  5. Step 5: Solve for x
    x = 8,780,017.17/2,019.75
  6. Step 6: Final answer
    x = 4,347.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.