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Finding the Third Proportional to 26,845 and 59,058

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Solution

The third proportional to 26,845 and 59,058 is: 129,925.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,845 : 59,058 = 59,058 : x
  2. Step 2: Convert to fraction form
    26,845/59,058 = 59,058/x
  3. Step 3: Cross multiply
    26,845x = 59,058 × 59,058
  4. Step 4: Simplify right side
    26,845x = 3,487,847,364
  5. Step 5: Solve for x
    x = 3,487,847,364/26,845
  6. Step 6: Final answer
    x = 129,925.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.