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Finding the Third Proportional to 1,051.73 and 2,297.11

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Solution

The third proportional to 1,051.73 and 2,297.11 is: 5,017.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.73 : 2,297.11 = 2,297.11 : x
  2. Step 2: Convert to fraction form
    1,051.73/2,297.11 = 2,297.11/x
  3. Step 3: Cross multiply
    1,051.73x = 2,297.11 × 2,297.11
  4. Step 4: Simplify right side
    1,051.73x = 5,276,711.48
  5. Step 5: Solve for x
    x = 5,276,711.48/1,051.73
  6. Step 6: Final answer
    x = 5,017.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.