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Finding the Third Proportional to 11,802.23 and 26,226.84

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Solution

The third proportional to 11,802.23 and 26,226.84 is: 58,281.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.23 : 26,226.84 = 26,226.84 : x
  2. Step 2: Convert to fraction form
    11,802.23/26,226.84 = 26,226.84/x
  3. Step 3: Cross multiply
    11,802.23x = 26,226.84 × 26,226.84
  4. Step 4: Simplify right side
    11,802.23x = 687,847,333.09
  5. Step 5: Solve for x
    x = 687,847,333.09/11,802.23
  6. Step 6: Final answer
    x = 58,281.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.