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Finding the Third Proportional to 6,082.59 and 13,108.08

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Solution

The third proportional to 6,082.59 and 13,108.08 is: 28,248.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.59 : 13,108.08 = 13,108.08 : x
  2. Step 2: Convert to fraction form
    6,082.59/13,108.08 = 13,108.08/x
  3. Step 3: Cross multiply
    6,082.59x = 13,108.08 × 13,108.08
  4. Step 4: Simplify right side
    6,082.59x = 171,821,712.13
  5. Step 5: Solve for x
    x = 171,821,712.13/6,082.59
  6. Step 6: Final answer
    x = 28,248.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.