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Finding the Third Proportional to 9,754.17 and 22,378.78

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Solution

The third proportional to 9,754.17 and 22,378.78 is: 51,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.17 : 22,378.78 = 22,378.78 : x
  2. Step 2: Convert to fraction form
    9,754.17/22,378.78 = 22,378.78/x
  3. Step 3: Cross multiply
    9,754.17x = 22,378.78 × 22,378.78
  4. Step 4: Simplify right side
    9,754.17x = 500,809,850.24
  5. Step 5: Solve for x
    x = 500,809,850.24/9,754.17
  6. Step 6: Final answer
    x = 51,343.14

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.