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Finding the Third Proportional to 9,942.75 and 14,050.13

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Solution

The third proportional to 9,942.75 and 14,050.13 is: 19,854.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.75 : 14,050.13 = 14,050.13 : x
  2. Step 2: Convert to fraction form
    9,942.75/14,050.13 = 14,050.13/x
  3. Step 3: Cross multiply
    9,942.75x = 14,050.13 × 14,050.13
  4. Step 4: Simplify right side
    9,942.75x = 197,406,012.52
  5. Step 5: Solve for x
    x = 197,406,012.52/9,942.75
  6. Step 6: Final answer
    x = 19,854.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.