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Finding the Third Proportional to 1,981.97 and 4,237.31

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Solution

The third proportional to 1,981.97 and 4,237.31 is: 9,059.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.97 : 4,237.31 = 4,237.31 : x
  2. Step 2: Convert to fraction form
    1,981.97/4,237.31 = 4,237.31/x
  3. Step 3: Cross multiply
    1,981.97x = 4,237.31 × 4,237.31
  4. Step 4: Simplify right side
    1,981.97x = 17,954,817.22
  5. Step 5: Solve for x
    x = 17,954,817.22/1,981.97
  6. Step 6: Final answer
    x = 9,059.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.