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Finding the Third Proportional to 2,058.14 and 2,468.21

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Solution

The third proportional to 2,058.14 and 2,468.21 is: 2,959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.14 : 2,468.21 = 2,468.21 : x
  2. Step 2: Convert to fraction form
    2,058.14/2,468.21 = 2,468.21/x
  3. Step 3: Cross multiply
    2,058.14x = 2,468.21 × 2,468.21
  4. Step 4: Simplify right side
    2,058.14x = 6,092,041.13
  5. Step 5: Solve for x
    x = 6,092,041.13/2,058.14
  6. Step 6: Final answer
    x = 2,959.97

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.