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Finding the Third Proportional to 16,076.25 and 34,457.63

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Solution

The third proportional to 16,076.25 and 34,457.63 is: 73,856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.25 : 34,457.63 = 34,457.63 : x
  2. Step 2: Convert to fraction form
    16,076.25/34,457.63 = 34,457.63/x
  3. Step 3: Cross multiply
    16,076.25x = 34,457.63 × 34,457.63
  4. Step 4: Simplify right side
    16,076.25x = 1,187,327,920.64
  5. Step 5: Solve for x
    x = 1,187,327,920.64/16,076.25
  6. Step 6: Final answer
    x = 73,856.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.