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Finding the Third Proportional to 11,561.06 and 24,848.44

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Solution

The third proportional to 11,561.06 and 24,848.44 is: 53,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.06 : 24,848.44 = 24,848.44 : x
  2. Step 2: Convert to fraction form
    11,561.06/24,848.44 = 24,848.44/x
  3. Step 3: Cross multiply
    11,561.06x = 24,848.44 × 24,848.44
  4. Step 4: Simplify right side
    11,561.06x = 617,444,846.19
  5. Step 5: Solve for x
    x = 617,444,846.19/11,561.06
  6. Step 6: Final answer
    x = 53,407.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.