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Finding the Third Proportional to 6,058 and 14,158

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Solution

The third proportional to 6,058 and 14,158 is: 33,088.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058 : 14,158 = 14,158 : x
  2. Step 2: Convert to fraction form
    6,058/14,158 = 14,158/x
  3. Step 3: Cross multiply
    6,058x = 14,158 × 14,158
  4. Step 4: Simplify right side
    6,058x = 200,448,964
  5. Step 5: Solve for x
    x = 200,448,964/6,058
  6. Step 6: Final answer
    x = 33,088.31

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.