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Finding the Third Proportional to 6,958.13 and 7,688.81

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Solution

The third proportional to 6,958.13 and 7,688.81 is: 8,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.13 : 7,688.81 = 7,688.81 : x
  2. Step 2: Convert to fraction form
    6,958.13/7,688.81 = 7,688.81/x
  3. Step 3: Cross multiply
    6,958.13x = 7,688.81 × 7,688.81
  4. Step 4: Simplify right side
    6,958.13x = 59,117,837.66
  5. Step 5: Solve for x
    x = 59,117,837.66/6,958.13
  6. Step 6: Final answer
    x = 8,496.23

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.