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Finding the Third Proportional to 3,154.31 and 6,635.63

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Solution

The third proportional to 3,154.31 and 6,635.63 is: 13,959.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.31 : 6,635.63 = 6,635.63 : x
  2. Step 2: Convert to fraction form
    3,154.31/6,635.63 = 6,635.63/x
  3. Step 3: Cross multiply
    3,154.31x = 6,635.63 × 6,635.63
  4. Step 4: Simplify right side
    3,154.31x = 44,031,519.14
  5. Step 5: Solve for x
    x = 44,031,519.14/3,154.31
  6. Step 6: Final answer
    x = 13,959.15

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.