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Finding the Third Proportional to 2,054.53 and 3,123.14

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Solution

The third proportional to 2,054.53 and 3,123.14 is: 4,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.53 : 3,123.14 = 3,123.14 : x
  2. Step 2: Convert to fraction form
    2,054.53/3,123.14 = 3,123.14/x
  3. Step 3: Cross multiply
    2,054.53x = 3,123.14 × 3,123.14
  4. Step 4: Simplify right side
    2,054.53x = 9,754,007.36
  5. Step 5: Solve for x
    x = 9,754,007.36/2,054.53
  6. Step 6: Final answer
    x = 4,747.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.