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Finding the Third Proportional to 11,443.78 and 24,477.19

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Solution

The third proportional to 11,443.78 and 24,477.19 is: 52,354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.78 : 24,477.19 = 24,477.19 : x
  2. Step 2: Convert to fraction form
    11,443.78/24,477.19 = 24,477.19/x
  3. Step 3: Cross multiply
    11,443.78x = 24,477.19 × 24,477.19
  4. Step 4: Simplify right side
    11,443.78x = 599,132,707.91
  5. Step 5: Solve for x
    x = 599,132,707.91/11,443.78
  6. Step 6: Final answer
    x = 52,354.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.