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Finding the Third Proportional to 4,954.29 and 10,318.01

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Solution

The third proportional to 4,954.29 and 10,318.01 is: 21,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.29 : 10,318.01 = 10,318.01 : x
  2. Step 2: Convert to fraction form
    4,954.29/10,318.01 = 10,318.01/x
  3. Step 3: Cross multiply
    4,954.29x = 10,318.01 × 10,318.01
  4. Step 4: Simplify right side
    4,954.29x = 106,461,285.22
  5. Step 5: Solve for x
    x = 106,461,285.22/4,954.29
  6. Step 6: Final answer
    x = 21,488.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.