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Finding the Third Proportional to 3,345.75 and 7,221.38

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Solution

The third proportional to 3,345.75 and 7,221.38 is: 15,586.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.75 : 7,221.38 = 7,221.38 : x
  2. Step 2: Convert to fraction form
    3,345.75/7,221.38 = 7,221.38/x
  3. Step 3: Cross multiply
    3,345.75x = 7,221.38 × 7,221.38
  4. Step 4: Simplify right side
    3,345.75x = 52,148,256.89
  5. Step 5: Solve for x
    x = 52,148,256.89/3,345.75
  6. Step 6: Final answer
    x = 15,586.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.