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Finding the Third Proportional to 22,356.56 and 47,378.56

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Solution

The third proportional to 22,356.56 and 47,378.56 is: 100,405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356.56 : 47,378.56 = 47,378.56 : x
  2. Step 2: Convert to fraction form
    22,356.56/47,378.56 = 47,378.56/x
  3. Step 3: Cross multiply
    22,356.56x = 47,378.56 × 47,378.56
  4. Step 4: Simplify right side
    22,356.56x = 2,244,728,184.57
  5. Step 5: Solve for x
    x = 2,244,728,184.57/22,356.56
  6. Step 6: Final answer
    x = 100,405.78

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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.