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Finding the Third Proportional to 939.73 and 2,058.86

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Solution

The third proportional to 939.73 and 2,058.86 is: 4,510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.73 : 2,058.86 = 2,058.86 : x
  2. Step 2: Convert to fraction form
    939.73/2,058.86 = 2,058.86/x
  3. Step 3: Cross multiply
    939.73x = 2,058.86 × 2,058.86
  4. Step 4: Simplify right side
    939.73x = 4,238,885.84
  5. Step 5: Solve for x
    x = 4,238,885.84/939.73
  6. Step 6: Final answer
    x = 4,510.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.