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Finding the Third Proportional to 6,958.13 and 14,599.76

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Solution

The third proportional to 6,958.13 and 14,599.76 is: 30,633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.13 : 14,599.76 = 14,599.76 : x
  2. Step 2: Convert to fraction form
    6,958.13/14,599.76 = 14,599.76/x
  3. Step 3: Cross multiply
    6,958.13x = 14,599.76 × 14,599.76
  4. Step 4: Simplify right side
    6,958.13x = 213,152,928.18
  5. Step 5: Solve for x
    x = 213,152,928.18/6,958.13
  6. Step 6: Final answer
    x = 30,633.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.