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Finding the Third Proportional to 2,211.19 and 4,718.81

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Solution

The third proportional to 2,211.19 and 4,718.81 is: 10,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.19 : 4,718.81 = 4,718.81 : x
  2. Step 2: Convert to fraction form
    2,211.19/4,718.81 = 4,718.81/x
  3. Step 3: Cross multiply
    2,211.19x = 4,718.81 × 4,718.81
  4. Step 4: Simplify right side
    2,211.19x = 22,267,191.41
  5. Step 5: Solve for x
    x = 22,267,191.41/2,211.19
  6. Step 6: Final answer
    x = 10,070.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.