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Finding the Third Proportional to 1,969.31 and 3,606.19

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Solution

The third proportional to 1,969.31 and 3,606.19 is: 6,603.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.31 : 3,606.19 = 3,606.19 : x
  2. Step 2: Convert to fraction form
    1,969.31/3,606.19 = 3,606.19/x
  3. Step 3: Cross multiply
    1,969.31x = 3,606.19 × 3,606.19
  4. Step 4: Simplify right side
    1,969.31x = 13,004,588.29
  5. Step 5: Solve for x
    x = 13,004,588.29/1,969.31
  6. Step 6: Final answer
    x = 6,603.62

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.