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Finding the Third Proportional to 6,787.13 and 11,341.69

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Solution

The third proportional to 6,787.13 and 11,341.69 is: 18,952.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.13 : 11,341.69 = 11,341.69 : x
  2. Step 2: Convert to fraction form
    6,787.13/11,341.69 = 11,341.69/x
  3. Step 3: Cross multiply
    6,787.13x = 11,341.69 × 11,341.69
  4. Step 4: Simplify right side
    6,787.13x = 128,633,875.35
  5. Step 5: Solve for x
    x = 128,633,875.35/6,787.13
  6. Step 6: Final answer
    x = 18,952.63

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.