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Finding the Third Proportional to 1,248.75 and 1,848.56

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Solution

The third proportional to 1,248.75 and 1,848.56 is: 2,736.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.75 : 1,848.56 = 1,848.56 : x
  2. Step 2: Convert to fraction form
    1,248.75/1,848.56 = 1,848.56/x
  3. Step 3: Cross multiply
    1,248.75x = 1,848.56 × 1,848.56
  4. Step 4: Simplify right side
    1,248.75x = 3,417,183.32
  5. Step 5: Solve for x
    x = 3,417,183.32/1,248.75
  6. Step 6: Final answer
    x = 2,736.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.