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Finding the Third Proportional to 6,664.13 and 14,148.38

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Solution

The third proportional to 6,664.13 and 14,148.38 is: 30,037.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.13 : 14,148.38 = 14,148.38 : x
  2. Step 2: Convert to fraction form
    6,664.13/14,148.38 = 14,148.38/x
  3. Step 3: Cross multiply
    6,664.13x = 14,148.38 × 14,148.38
  4. Step 4: Simplify right side
    6,664.13x = 200,176,515.14
  5. Step 5: Solve for x
    x = 200,176,515.14/6,664.13
  6. Step 6: Final answer
    x = 30,037.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.