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Finding the Third Proportional to 22,944.75 and 47,124.38

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Solution

The third proportional to 22,944.75 and 47,124.38 is: 96,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,944.75 : 47,124.38 = 47,124.38 : x
  2. Step 2: Convert to fraction form
    22,944.75/47,124.38 = 47,124.38/x
  3. Step 3: Cross multiply
    22,944.75x = 47,124.38 × 47,124.38
  4. Step 4: Simplify right side
    22,944.75x = 2,220,706,719.14
  5. Step 5: Solve for x
    x = 2,220,706,719.14/22,944.75
  6. Step 6: Final answer
    x = 96,784.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.