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Finding the Third Proportional to 4,596.75 and 9,971.44

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Solution

The third proportional to 4,596.75 and 9,971.44 is: 21,630.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.75 : 9,971.44 = 9,971.44 : x
  2. Step 2: Convert to fraction form
    4,596.75/9,971.44 = 9,971.44/x
  3. Step 3: Cross multiply
    4,596.75x = 9,971.44 × 9,971.44
  4. Step 4: Simplify right side
    4,596.75x = 99,429,565.82
  5. Step 5: Solve for x
    x = 99,429,565.82/4,596.75
  6. Step 6: Final answer
    x = 21,630.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.