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Finding the Third Proportional to 2,934.98 and 4,402.48

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Solution

The third proportional to 2,934.98 and 4,402.48 is: 6,603.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.98 : 4,402.48 = 4,402.48 : x
  2. Step 2: Convert to fraction form
    2,934.98/4,402.48 = 4,402.48/x
  3. Step 3: Cross multiply
    2,934.98x = 4,402.48 × 4,402.48
  4. Step 4: Simplify right side
    2,934.98x = 19,381,799.88
  5. Step 5: Solve for x
    x = 19,381,799.88/2,934.98
  6. Step 6: Final answer
    x = 6,603.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.