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Finding the Third Proportional to 22,358.25 and 47,378.25

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Solution

The third proportional to 22,358.25 and 47,378.25 is: 100,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358.25 : 47,378.25 = 47,378.25 : x
  2. Step 2: Convert to fraction form
    22,358.25/47,378.25 = 47,378.25/x
  3. Step 3: Cross multiply
    22,358.25x = 47,378.25 × 47,378.25
  4. Step 4: Simplify right side
    22,358.25x = 2,244,698,573.06
  5. Step 5: Solve for x
    x = 2,244,698,573.06/22,358.25
  6. Step 6: Final answer
    x = 100,396.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.