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Finding the Third Proportional to 6,411.38 and 9,705.44

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Solution

The third proportional to 6,411.38 and 9,705.44 is: 14,691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.38 : 9,705.44 = 9,705.44 : x
  2. Step 2: Convert to fraction form
    6,411.38/9,705.44 = 9,705.44/x
  3. Step 3: Cross multiply
    6,411.38x = 9,705.44 × 9,705.44
  4. Step 4: Simplify right side
    6,411.38x = 94,195,517.07
  5. Step 5: Solve for x
    x = 94,195,517.07/6,411.38
  6. Step 6: Final answer
    x = 14,691.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.