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Finding the Third Proportional to 927.84 and 2,051.44

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Solution

The third proportional to 927.84 and 2,051.44 is: 4,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.84 : 2,051.44 = 2,051.44 : x
  2. Step 2: Convert to fraction form
    927.84/2,051.44 = 2,051.44/x
  3. Step 3: Cross multiply
    927.84x = 2,051.44 × 2,051.44
  4. Step 4: Simplify right side
    927.84x = 4,208,395.82
  5. Step 5: Solve for x
    x = 4,208,395.82/927.84
  6. Step 6: Final answer
    x = 4,535.67

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.