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Finding the Third Proportional to 7,010.25 and 14,993.25

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Solution

The third proportional to 7,010.25 and 14,993.25 is: 32,066.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.25 : 14,993.25 = 14,993.25 : x
  2. Step 2: Convert to fraction form
    7,010.25/14,993.25 = 14,993.25/x
  3. Step 3: Cross multiply
    7,010.25x = 14,993.25 × 14,993.25
  4. Step 4: Simplify right side
    7,010.25x = 224,797,545.56
  5. Step 5: Solve for x
    x = 224,797,545.56/7,010.25
  6. Step 6: Final answer
    x = 32,066.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.