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Finding the Third Proportional to 2,835 and 7,381.13

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Solution

The third proportional to 2,835 and 7,381.13 is: 19,217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835 : 7,381.13 = 7,381.13 : x
  2. Step 2: Convert to fraction form
    2,835/7,381.13 = 7,381.13/x
  3. Step 3: Cross multiply
    2,835x = 7,381.13 × 7,381.13
  4. Step 4: Simplify right side
    2,835x = 54,481,006.27
  5. Step 5: Solve for x
    x = 54,481,006.27/2,835
  6. Step 6: Final answer
    x = 19,217.29

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.