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Finding the Third Proportional to 6,985.62 and 14,278.78

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Solution

The third proportional to 6,985.62 and 14,278.78 is: 29,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.62 : 14,278.78 = 14,278.78 : x
  2. Step 2: Convert to fraction form
    6,985.62/14,278.78 = 14,278.78/x
  3. Step 3: Cross multiply
    6,985.62x = 14,278.78 × 14,278.78
  4. Step 4: Simplify right side
    6,985.62x = 203,883,593.99
  5. Step 5: Solve for x
    x = 203,883,593.99/6,985.62
  6. Step 6: Final answer
    x = 29,186.20

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.