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Finding the Third Proportional to 6,598.13 and 11,728.13

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Solution

The third proportional to 6,598.13 and 11,728.13 is: 20,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.13 : 11,728.13 = 11,728.13 : x
  2. Step 2: Convert to fraction form
    6,598.13/11,728.13 = 11,728.13/x
  3. Step 3: Cross multiply
    6,598.13x = 11,728.13 × 11,728.13
  4. Step 4: Simplify right side
    6,598.13x = 137,548,916.02
  5. Step 5: Solve for x
    x = 137,548,916.02/6,598.13
  6. Step 6: Final answer
    x = 20,846.67

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.