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Finding the Third Proportional to 10,099.69 and 14,352.19

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Solution

The third proportional to 10,099.69 and 14,352.19 is: 20,395.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.69 : 14,352.19 = 14,352.19 : x
  2. Step 2: Convert to fraction form
    10,099.69/14,352.19 = 14,352.19/x
  3. Step 3: Cross multiply
    10,099.69x = 14,352.19 × 14,352.19
  4. Step 4: Simplify right side
    10,099.69x = 205,985,286.04
  5. Step 5: Solve for x
    x = 205,985,286.04/10,099.69
  6. Step 6: Final answer
    x = 20,395.21

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.