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Finding the Third Proportional to 7,578.56 and 16,534.13

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Solution

The third proportional to 7,578.56 and 16,534.13 is: 36,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.56 : 16,534.13 = 16,534.13 : x
  2. Step 2: Convert to fraction form
    7,578.56/16,534.13 = 16,534.13/x
  3. Step 3: Cross multiply
    7,578.56x = 16,534.13 × 16,534.13
  4. Step 4: Simplify right side
    7,578.56x = 273,377,289.52
  5. Step 5: Solve for x
    x = 273,377,289.52/7,578.56
  6. Step 6: Final answer
    x = 36,072.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.