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Finding the Third Proportional to 9,234.84 and 13,524.47

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Solution

The third proportional to 9,234.84 and 13,524.47 is: 19,806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.84 : 13,524.47 = 13,524.47 : x
  2. Step 2: Convert to fraction form
    9,234.84/13,524.47 = 13,524.47/x
  3. Step 3: Cross multiply
    9,234.84x = 13,524.47 × 13,524.47
  4. Step 4: Simplify right side
    9,234.84x = 182,911,254.97
  5. Step 5: Solve for x
    x = 182,911,254.97/9,234.84
  6. Step 6: Final answer
    x = 19,806.64

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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.