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Finding the Third Proportional to 2,030.91 and 3,521.81

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Solution

The third proportional to 2,030.91 and 3,521.81 is: 6,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.91 : 3,521.81 = 3,521.81 : x
  2. Step 2: Convert to fraction form
    2,030.91/3,521.81 = 3,521.81/x
  3. Step 3: Cross multiply
    2,030.91x = 3,521.81 × 3,521.81
  4. Step 4: Simplify right side
    2,030.91x = 12,403,163.29
  5. Step 5: Solve for x
    x = 12,403,163.29/2,030.91
  6. Step 6: Final answer
    x = 6,107.21

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.