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Finding the Third Proportional to 3,984.19 and 8,927.72

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Solution

The third proportional to 3,984.19 and 8,927.72 is: 20,005.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.19 : 8,927.72 = 8,927.72 : x
  2. Step 2: Convert to fraction form
    3,984.19/8,927.72 = 8,927.72/x
  3. Step 3: Cross multiply
    3,984.19x = 8,927.72 × 8,927.72
  4. Step 4: Simplify right side
    3,984.19x = 79,704,162.08
  5. Step 5: Solve for x
    x = 79,704,162.08/3,984.19
  6. Step 6: Final answer
    x = 20,005.12

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.