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Finding the Third Proportional to 4,322.74 and 9,163.76

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Solution

The third proportional to 4,322.74 and 9,163.76 is: 19,426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.74 : 9,163.76 = 9,163.76 : x
  2. Step 2: Convert to fraction form
    4,322.74/9,163.76 = 9,163.76/x
  3. Step 3: Cross multiply
    4,322.74x = 9,163.76 × 9,163.76
  4. Step 4: Simplify right side
    4,322.74x = 83,974,457.25
  5. Step 5: Solve for x
    x = 83,974,457.25/4,322.74
  6. Step 6: Final answer
    x = 19,426.20

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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.