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Finding the Third Proportional to 1,549.97 and 3,406.22

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Solution

The third proportional to 1,549.97 and 3,406.22 is: 7,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.97 : 3,406.22 = 3,406.22 : x
  2. Step 2: Convert to fraction form
    1,549.97/3,406.22 = 3,406.22/x
  3. Step 3: Cross multiply
    1,549.97x = 3,406.22 × 3,406.22
  4. Step 4: Simplify right side
    1,549.97x = 11,602,326.17
  5. Step 5: Solve for x
    x = 11,602,326.17/1,549.97
  6. Step 6: Final answer
    x = 7,485.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.