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Finding the Third Proportional to 22,106.25 and 47,742.75

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Solution

The third proportional to 22,106.25 and 47,742.75 is: 103,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,106.25 : 47,742.75 = 47,742.75 : x
  2. Step 2: Convert to fraction form
    22,106.25/47,742.75 = 47,742.75/x
  3. Step 3: Cross multiply
    22,106.25x = 47,742.75 × 47,742.75
  4. Step 4: Simplify right side
    22,106.25x = 2,279,370,177.56
  5. Step 5: Solve for x
    x = 2,279,370,177.56/22,106.25
  6. Step 6: Final answer
    x = 103,109.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.