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Finding the Third Proportional to 9,380 and 14,519.75

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Solution

The third proportional to 9,380 and 14,519.75 is: 22,475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380 : 14,519.75 = 14,519.75 : x
  2. Step 2: Convert to fraction form
    9,380/14,519.75 = 14,519.75/x
  3. Step 3: Cross multiply
    9,380x = 14,519.75 × 14,519.75
  4. Step 4: Simplify right side
    9,380x = 210,823,140.06
  5. Step 5: Solve for x
    x = 210,823,140.06/9,380
  6. Step 6: Final answer
    x = 22,475.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.