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Finding the Third Proportional to 3,381.47 and 7,333.03

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Solution

The third proportional to 3,381.47 and 7,333.03 is: 15,902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.47 : 7,333.03 = 7,333.03 : x
  2. Step 2: Convert to fraction form
    3,381.47/7,333.03 = 7,333.03/x
  3. Step 3: Cross multiply
    3,381.47x = 7,333.03 × 7,333.03
  4. Step 4: Simplify right side
    3,381.47x = 53,773,347.31
  5. Step 5: Solve for x
    x = 53,773,347.31/3,381.47
  6. Step 6: Final answer
    x = 15,902.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.