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Finding the Third Proportional to 6,058.13 and 8,908.31

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Solution

The third proportional to 6,058.13 and 8,908.31 is: 13,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058.13 : 8,908.31 = 8,908.31 : x
  2. Step 2: Convert to fraction form
    6,058.13/8,908.31 = 8,908.31/x
  3. Step 3: Cross multiply
    6,058.13x = 8,908.31 × 8,908.31
  4. Step 4: Simplify right side
    6,058.13x = 79,358,031.60
  5. Step 5: Solve for x
    x = 79,358,031.60/6,058.13
  6. Step 6: Final answer
    x = 13,099.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.