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Finding the Third Proportional to 3,601.08 and 7,701.66

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Solution

The third proportional to 3,601.08 and 7,701.66 is: 16,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.08 : 7,701.66 = 7,701.66 : x
  2. Step 2: Convert to fraction form
    3,601.08/7,701.66 = 7,701.66/x
  3. Step 3: Cross multiply
    3,601.08x = 7,701.66 × 7,701.66
  4. Step 4: Simplify right side
    3,601.08x = 59,315,508.99
  5. Step 5: Solve for x
    x = 59,315,508.99/3,601.08
  6. Step 6: Final answer
    x = 16,471.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.