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Finding the Third Proportional to 6,058.13 and 14,051.81

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Solution

The third proportional to 6,058.13 and 14,051.81 is: 32,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058.13 : 14,051.81 = 14,051.81 : x
  2. Step 2: Convert to fraction form
    6,058.13/14,051.81 = 14,051.81/x
  3. Step 3: Cross multiply
    6,058.13x = 14,051.81 × 14,051.81
  4. Step 4: Simplify right side
    6,058.13x = 197,453,434.54
  5. Step 5: Solve for x
    x = 197,453,434.54/6,058.13
  6. Step 6: Final answer
    x = 32,593.16

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.