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Finding the Third Proportional to 6,471.13 and 14,000.13

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Solution

The third proportional to 6,471.13 and 14,000.13 is: 30,288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.13 : 14,000.13 = 14,000.13 : x
  2. Step 2: Convert to fraction form
    6,471.13/14,000.13 = 14,000.13/x
  3. Step 3: Cross multiply
    6,471.13x = 14,000.13 × 14,000.13
  4. Step 4: Simplify right side
    6,471.13x = 196,003,500.02
  5. Step 5: Solve for x
    x = 196,003,500.02/6,471.13
  6. Step 6: Final answer
    x = 30,288.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.