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Finding the Third Proportional to 2,943.84 and 4,447.41

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Solution

The third proportional to 2,943.84 and 4,447.41 is: 6,718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.84 : 4,447.41 = 4,447.41 : x
  2. Step 2: Convert to fraction form
    2,943.84/4,447.41 = 4,447.41/x
  3. Step 3: Cross multiply
    2,943.84x = 4,447.41 × 4,447.41
  4. Step 4: Simplify right side
    2,943.84x = 19,779,422.35
  5. Step 5: Solve for x
    x = 19,779,422.35/2,943.84
  6. Step 6: Final answer
    x = 6,718.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.