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Finding the Third Proportional to 4,477.50 and 9,764.44

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Solution

The third proportional to 4,477.50 and 9,764.44 is: 21,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.50 : 9,764.44 = 9,764.44 : x
  2. Step 2: Convert to fraction form
    4,477.50/9,764.44 = 9,764.44/x
  3. Step 3: Cross multiply
    4,477.50x = 9,764.44 × 9,764.44
  4. Step 4: Simplify right side
    4,477.50x = 95,344,239.69
  5. Step 5: Solve for x
    x = 95,344,239.69/4,477.50
  6. Step 6: Final answer
    x = 21,294.08

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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.