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Finding the Third Proportional to 1,355.13 and 2,047.11

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Solution

The third proportional to 1,355.13 and 2,047.11 is: 3,092.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.13 : 2,047.11 = 2,047.11 : x
  2. Step 2: Convert to fraction form
    1,355.13/2,047.11 = 2,047.11/x
  3. Step 3: Cross multiply
    1,355.13x = 2,047.11 × 2,047.11
  4. Step 4: Simplify right side
    1,355.13x = 4,190,654.79
  5. Step 5: Solve for x
    x = 4,190,654.79/1,355.13
  6. Step 6: Final answer
    x = 3,092.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.