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Finding the Third Proportional to 47,594.25 and 101,747.81

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Solution

The third proportional to 47,594.25 and 101,747.81 is: 217,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,594.25 : 101,747.81 = 101,747.81 : x
  2. Step 2: Convert to fraction form
    47,594.25/101,747.81 = 101,747.81/x
  3. Step 3: Cross multiply
    47,594.25x = 101,747.81 × 101,747.81
  4. Step 4: Simplify right side
    47,594.25x = 10,352,617,348.54
  5. Step 5: Solve for x
    x = 10,352,617,348.54/47,594.25
  6. Step 6: Final answer
    x = 217,518.24

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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.