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Finding the Third Proportional to 6,852.09 and 14,761.62

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Solution

The third proportional to 6,852.09 and 14,761.62 is: 31,801.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.09 : 14,761.62 = 14,761.62 : x
  2. Step 2: Convert to fraction form
    6,852.09/14,761.62 = 14,761.62/x
  3. Step 3: Cross multiply
    6,852.09x = 14,761.62 × 14,761.62
  4. Step 4: Simplify right side
    6,852.09x = 217,905,341.99
  5. Step 5: Solve for x
    x = 217,905,341.99/6,852.09
  6. Step 6: Final answer
    x = 31,801.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.