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Finding the Third Proportional to 14,847.84 and 32,016.56

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Solution

The third proportional to 14,847.84 and 32,016.56 is: 69,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,847.84 : 32,016.56 = 32,016.56 : x
  2. Step 2: Convert to fraction form
    14,847.84/32,016.56 = 32,016.56/x
  3. Step 3: Cross multiply
    14,847.84x = 32,016.56 × 32,016.56
  4. Step 4: Simplify right side
    14,847.84x = 1,025,060,274.32
  5. Step 5: Solve for x
    x = 1,025,060,274.32/14,847.84
  6. Step 6: Final answer
    x = 69,037.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.