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Finding the Third Proportional to 2,030.06 and 3,718.41

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Solution

The third proportional to 2,030.06 and 3,718.41 is: 6,810.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.06 : 3,718.41 = 3,718.41 : x
  2. Step 2: Convert to fraction form
    2,030.06/3,718.41 = 3,718.41/x
  3. Step 3: Cross multiply
    2,030.06x = 3,718.41 × 3,718.41
  4. Step 4: Simplify right side
    2,030.06x = 13,826,545.04
  5. Step 5: Solve for x
    x = 13,826,545.04/2,030.06
  6. Step 6: Final answer
    x = 6,810.90

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.