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Finding the Third Proportional to 3,301.70 and 7,341.57

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Solution

The third proportional to 3,301.70 and 7,341.57 is: 16,324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.70 : 7,341.57 = 7,341.57 : x
  2. Step 2: Convert to fraction form
    3,301.70/7,341.57 = 7,341.57/x
  3. Step 3: Cross multiply
    3,301.70x = 7,341.57 × 7,341.57
  4. Step 4: Simplify right side
    3,301.70x = 53,898,712.01
  5. Step 5: Solve for x
    x = 53,898,712.01/3,301.70
  6. Step 6: Final answer
    x = 16,324.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.