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Finding the Third Proportional to 2,058.19 and 2,251.69

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Solution

The third proportional to 2,058.19 and 2,251.69 is: 2,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.19 : 2,251.69 = 2,251.69 : x
  2. Step 2: Convert to fraction form
    2,058.19/2,251.69 = 2,251.69/x
  3. Step 3: Cross multiply
    2,058.19x = 2,251.69 × 2,251.69
  4. Step 4: Simplify right side
    2,058.19x = 5,070,096.60
  5. Step 5: Solve for x
    x = 5,070,096.60/2,058.19
  6. Step 6: Final answer
    x = 2,463.38

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.