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Finding the Third Proportional to 6,654.66 and 14,334.47

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Solution

The third proportional to 6,654.66 and 14,334.47 is: 30,877.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.66 : 14,334.47 = 14,334.47 : x
  2. Step 2: Convert to fraction form
    6,654.66/14,334.47 = 14,334.47/x
  3. Step 3: Cross multiply
    6,654.66x = 14,334.47 × 14,334.47
  4. Step 4: Simplify right side
    6,654.66x = 205,476,994.34
  5. Step 5: Solve for x
    x = 205,476,994.34/6,654.66
  6. Step 6: Final answer
    x = 30,877.18

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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.