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Finding the Third Proportional to 9,315.75 and 14,093.25

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Solution

The third proportional to 9,315.75 and 14,093.25 is: 21,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.75 : 14,093.25 = 14,093.25 : x
  2. Step 2: Convert to fraction form
    9,315.75/14,093.25 = 14,093.25/x
  3. Step 3: Cross multiply
    9,315.75x = 14,093.25 × 14,093.25
  4. Step 4: Simplify right side
    9,315.75x = 198,619,695.56
  5. Step 5: Solve for x
    x = 198,619,695.56/9,315.75
  6. Step 6: Final answer
    x = 21,320.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.