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Finding the Third Proportional to 7,138.13 and 8,505

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Solution

The third proportional to 7,138.13 and 8,505 is: 10,133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.13 : 8,505 = 8,505 : x
  2. Step 2: Convert to fraction form
    7,138.13/8,505 = 8,505/x
  3. Step 3: Cross multiply
    7,138.13x = 8,505 × 8,505
  4. Step 4: Simplify right side
    7,138.13x = 72,335,025
  5. Step 5: Solve for x
    x = 72,335,025/7,138.13
  6. Step 6: Final answer
    x = 10,133.62

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.