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Finding the Third Proportional to 7,141.50 and 10,670.06

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Solution

The third proportional to 7,141.50 and 10,670.06 is: 15,942.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.50 : 10,670.06 = 10,670.06 : x
  2. Step 2: Convert to fraction form
    7,141.50/10,670.06 = 10,670.06/x
  3. Step 3: Cross multiply
    7,141.50x = 10,670.06 × 10,670.06
  4. Step 4: Simplify right side
    7,141.50x = 113,850,233.75
  5. Step 5: Solve for x
    x = 113,850,233.75/7,141.50
  6. Step 6: Final answer
    x = 15,942.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.