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Finding the Third Proportional to 6,384.66 and 10,146.09

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Solution

The third proportional to 6,384.66 and 10,146.09 is: 16,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.66 : 10,146.09 = 10,146.09 : x
  2. Step 2: Convert to fraction form
    6,384.66/10,146.09 = 10,146.09/x
  3. Step 3: Cross multiply
    6,384.66x = 10,146.09 × 10,146.09
  4. Step 4: Simplify right side
    6,384.66x = 102,943,218.38
  5. Step 5: Solve for x
    x = 102,943,218.38/6,384.66
  6. Step 6: Final answer
    x = 16,123.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.