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Finding the Third Proportional to 1,697.20 and 3,699.11

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Solution

The third proportional to 1,697.20 and 3,699.11 is: 8,062.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.20 : 3,699.11 = 3,699.11 : x
  2. Step 2: Convert to fraction form
    1,697.20/3,699.11 = 3,699.11/x
  3. Step 3: Cross multiply
    1,697.20x = 3,699.11 × 3,699.11
  4. Step 4: Simplify right side
    1,697.20x = 13,683,381.27
  5. Step 5: Solve for x
    x = 13,683,381.27/1,697.20
  6. Step 6: Final answer
    x = 8,062.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.