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Finding the Third Proportional to 22,205.75 and 47,578.13

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Solution

The third proportional to 22,205.75 and 47,578.13 is: 101,941.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.75 : 47,578.13 = 47,578.13 : x
  2. Step 2: Convert to fraction form
    22,205.75/47,578.13 = 47,578.13/x
  3. Step 3: Cross multiply
    22,205.75x = 47,578.13 × 47,578.13
  4. Step 4: Simplify right side
    22,205.75x = 2,263,677,978.52
  5. Step 5: Solve for x
    x = 2,263,677,978.52/22,205.75
  6. Step 6: Final answer
    x = 101,941.07

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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.