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Finding the Third Proportional to 6,058.13 and 12,688.31

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Solution

The third proportional to 6,058.13 and 12,688.31 is: 26,574.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058.13 : 12,688.31 = 12,688.31 : x
  2. Step 2: Convert to fraction form
    6,058.13/12,688.31 = 12,688.31/x
  3. Step 3: Cross multiply
    6,058.13x = 12,688.31 × 12,688.31
  4. Step 4: Simplify right side
    6,058.13x = 160,993,274.10
  5. Step 5: Solve for x
    x = 160,993,274.10/6,058.13
  6. Step 6: Final answer
    x = 26,574.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.