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Finding the Third Proportional to 6,038.30 and 13,082.77

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Solution

The third proportional to 6,038.30 and 13,082.77 is: 28,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.30 : 13,082.77 = 13,082.77 : x
  2. Step 2: Convert to fraction form
    6,038.30/13,082.77 = 13,082.77/x
  3. Step 3: Cross multiply
    6,038.30x = 13,082.77 × 13,082.77
  4. Step 4: Simplify right side
    6,038.30x = 171,158,756.40
  5. Step 5: Solve for x
    x = 171,158,756.40/6,038.30
  6. Step 6: Final answer
    x = 28,345.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.