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Finding the Third Proportional to 7,524.14 and 11,007.14

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Solution

The third proportional to 7,524.14 and 11,007.14 is: 16,102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.14 : 11,007.14 = 11,007.14 : x
  2. Step 2: Convert to fraction form
    7,524.14/11,007.14 = 11,007.14/x
  3. Step 3: Cross multiply
    7,524.14x = 11,007.14 × 11,007.14
  4. Step 4: Simplify right side
    7,524.14x = 121,157,144.74
  5. Step 5: Solve for x
    x = 121,157,144.74/7,524.14
  6. Step 6: Final answer
    x = 16,102.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.