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Finding the Third Proportional to 6,814.13 and 14,583.38

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Solution

The third proportional to 6,814.13 and 14,583.38 is: 31,210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.13 : 14,583.38 = 14,583.38 : x
  2. Step 2: Convert to fraction form
    6,814.13/14,583.38 = 14,583.38/x
  3. Step 3: Cross multiply
    6,814.13x = 14,583.38 × 14,583.38
  4. Step 4: Simplify right side
    6,814.13x = 212,674,826.39
  5. Step 5: Solve for x
    x = 212,674,826.39/6,814.13
  6. Step 6: Final answer
    x = 31,210.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.