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Finding the Third Proportional to 1,549.97 and 3,407.91

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Solution

The third proportional to 1,549.97 and 3,407.91 is: 7,492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.97 : 3,407.91 = 3,407.91 : x
  2. Step 2: Convert to fraction form
    1,549.97/3,407.91 = 3,407.91/x
  3. Step 3: Cross multiply
    1,549.97x = 3,407.91 × 3,407.91
  4. Step 4: Simplify right side
    1,549.97x = 11,613,825.01
  5. Step 5: Solve for x
    x = 11,613,825.01/1,549.97
  6. Step 6: Final answer
    x = 7,492.94

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