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Finding the Third Proportional to 850.08 and 1,248.54

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Solution

The third proportional to 850.08 and 1,248.54 is: 1,833.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.08 : 1,248.54 = 1,248.54 : x
  2. Step 2: Convert to fraction form
    850.08/1,248.54 = 1,248.54/x
  3. Step 3: Cross multiply
    850.08x = 1,248.54 × 1,248.54
  4. Step 4: Simplify right side
    850.08x = 1,558,849.79
  5. Step 5: Solve for x
    x = 1,558,849.79/850.08
  6. Step 6: Final answer
    x = 1,833.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.