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Finding the Third Proportional to 14,921.72 and 31,278.66

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Solution

The third proportional to 14,921.72 and 31,278.66 is: 65,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,921.72 : 31,278.66 = 31,278.66 : x
  2. Step 2: Convert to fraction form
    14,921.72/31,278.66 = 31,278.66/x
  3. Step 3: Cross multiply
    14,921.72x = 31,278.66 × 31,278.66
  4. Step 4: Simplify right side
    14,921.72x = 978,354,336.81
  5. Step 5: Solve for x
    x = 978,354,336.81/14,921.72
  6. Step 6: Final answer
    x = 65,565.79

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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.