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Finding the Third Proportional to 1,971.84 and 4,466.39

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Solution

The third proportional to 1,971.84 and 4,466.39 is: 10,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.84 : 4,466.39 = 4,466.39 : x
  2. Step 2: Convert to fraction form
    1,971.84/4,466.39 = 4,466.39/x
  3. Step 3: Cross multiply
    1,971.84x = 4,466.39 × 4,466.39
  4. Step 4: Simplify right side
    1,971.84x = 19,948,645.22
  5. Step 5: Solve for x
    x = 19,948,645.22/1,971.84
  6. Step 6: Final answer
    x = 10,116.75

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.