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Finding the Third Proportional to 2,226.51 and 4,726.40

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Solution

The third proportional to 2,226.51 and 4,726.40 is: 10,033.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.51 : 4,726.40 = 4,726.40 : x
  2. Step 2: Convert to fraction form
    2,226.51/4,726.40 = 4,726.40/x
  3. Step 3: Cross multiply
    2,226.51x = 4,726.40 × 4,726.40
  4. Step 4: Simplify right side
    2,226.51x = 22,338,832.96
  5. Step 5: Solve for x
    x = 22,338,832.96/2,226.51
  6. Step 6: Final answer
    x = 10,033.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.