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Finding the Third Proportional to 14,679.56 and 31,181.63

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Solution

The third proportional to 14,679.56 and 31,181.63 is: 66,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,679.56 : 31,181.63 = 31,181.63 : x
  2. Step 2: Convert to fraction form
    14,679.56/31,181.63 = 31,181.63/x
  3. Step 3: Cross multiply
    14,679.56x = 31,181.63 × 31,181.63
  4. Step 4: Simplify right side
    14,679.56x = 972,293,737.64
  5. Step 5: Solve for x
    x = 972,293,737.64/14,679.56
  6. Step 6: Final answer
    x = 66,234.52

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