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Finding the Third Proportional to 10,557.42 and 22,940.16

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Solution

The third proportional to 10,557.42 and 22,940.16 is: 49,846.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.42 : 22,940.16 = 22,940.16 : x
  2. Step 2: Convert to fraction form
    10,557.42/22,940.16 = 22,940.16/x
  3. Step 3: Cross multiply
    10,557.42x = 22,940.16 × 22,940.16
  4. Step 4: Simplify right side
    10,557.42x = 526,250,768.77
  5. Step 5: Solve for x
    x = 526,250,768.77/10,557.42
  6. Step 6: Final answer
    x = 49,846.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.