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Finding the Third Proportional to 2,318.63 and 5,014.41

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Solution

The third proportional to 2,318.63 and 5,014.41 is: 10,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.63 : 5,014.41 = 5,014.41 : x
  2. Step 2: Convert to fraction form
    2,318.63/5,014.41 = 5,014.41/x
  3. Step 3: Cross multiply
    2,318.63x = 5,014.41 × 5,014.41
  4. Step 4: Simplify right side
    2,318.63x = 25,144,270.04
  5. Step 5: Solve for x
    x = 25,144,270.04/2,318.63
  6. Step 6: Final answer
    x = 10,844.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.