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Finding the Third Proportional to 8,910.75 and 14,015.75

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Solution

The third proportional to 8,910.75 and 14,015.75 is: 22,045.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,910.75 : 14,015.75 = 14,015.75 : x
  2. Step 2: Convert to fraction form
    8,910.75/14,015.75 = 14,015.75/x
  3. Step 3: Cross multiply
    8,910.75x = 14,015.75 × 14,015.75
  4. Step 4: Simplify right side
    8,910.75x = 196,441,248.06
  5. Step 5: Solve for x
    x = 196,441,248.06/8,910.75
  6. Step 6: Final answer
    x = 22,045.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.