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Finding the Third Proportional to 6,193.69 and 9,606.94

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Solution

The third proportional to 6,193.69 and 9,606.94 is: 14,901.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.69 : 9,606.94 = 9,606.94 : x
  2. Step 2: Convert to fraction form
    6,193.69/9,606.94 = 9,606.94/x
  3. Step 3: Cross multiply
    6,193.69x = 9,606.94 × 9,606.94
  4. Step 4: Simplify right side
    6,193.69x = 92,293,248.13
  5. Step 5: Solve for x
    x = 92,293,248.13/6,193.69
  6. Step 6: Final answer
    x = 14,901.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.