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Finding the Third Proportional to 2,018.67 and 2,934.98

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Solution

The third proportional to 2,018.67 and 2,934.98 is: 4,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.67 : 2,934.98 = 2,934.98 : x
  2. Step 2: Convert to fraction form
    2,018.67/2,934.98 = 2,934.98/x
  3. Step 3: Cross multiply
    2,018.67x = 2,934.98 × 2,934.98
  4. Step 4: Simplify right side
    2,018.67x = 8,614,133.28
  5. Step 5: Solve for x
    x = 8,614,133.28/2,018.67
  6. Step 6: Final answer
    x = 4,267.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.