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Finding the Third Proportional to 5,949.56 and 12,670.88

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Solution

The third proportional to 5,949.56 and 12,670.88 is: 26,985.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.56 : 12,670.88 = 12,670.88 : x
  2. Step 2: Convert to fraction form
    5,949.56/12,670.88 = 12,670.88/x
  3. Step 3: Cross multiply
    5,949.56x = 12,670.88 × 12,670.88
  4. Step 4: Simplify right side
    5,949.56x = 160,551,073.27
  5. Step 5: Solve for x
    x = 160,551,073.27/5,949.56
  6. Step 6: Final answer
    x = 26,985.36

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.