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Finding the Third Proportional to 6,761.29 and 14,798.32

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Solution

The third proportional to 6,761.29 and 14,798.32 is: 32,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.29 : 14,798.32 = 14,798.32 : x
  2. Step 2: Convert to fraction form
    6,761.29/14,798.32 = 14,798.32/x
  3. Step 3: Cross multiply
    6,761.29x = 14,798.32 × 14,798.32
  4. Step 4: Simplify right side
    6,761.29x = 218,990,284.07
  5. Step 5: Solve for x
    x = 218,990,284.07/6,761.29
  6. Step 6: Final answer
    x = 32,388.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.