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Finding the Third Proportional to 3,076.59 and 6,537.66

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Solution

The third proportional to 3,076.59 and 6,537.66 is: 13,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.59 : 6,537.66 = 6,537.66 : x
  2. Step 2: Convert to fraction form
    3,076.59/6,537.66 = 6,537.66/x
  3. Step 3: Cross multiply
    3,076.59x = 6,537.66 × 6,537.66
  4. Step 4: Simplify right side
    3,076.59x = 42,740,949.24
  5. Step 5: Solve for x
    x = 42,740,949.24/3,076.59
  6. Step 6: Final answer
    x = 13,892.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.