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Finding the Third Proportional to 3,707.02 and 5,890.22

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Solution

The third proportional to 3,707.02 and 5,890.22 is: 9,359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.02 : 5,890.22 = 5,890.22 : x
  2. Step 2: Convert to fraction form
    3,707.02/5,890.22 = 5,890.22/x
  3. Step 3: Cross multiply
    3,707.02x = 5,890.22 × 5,890.22
  4. Step 4: Simplify right side
    3,707.02x = 34,694,676.92
  5. Step 5: Solve for x
    x = 34,694,676.92/3,707.02
  6. Step 6: Final answer
    x = 9,359.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.