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Finding the Third Proportional to 33,457.11 and 45,417.27

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Solution

The third proportional to 33,457.11 and 45,417.27 is: 61,652.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,457.11 : 45,417.27 = 45,417.27 : x
  2. Step 2: Convert to fraction form
    33,457.11/45,417.27 = 45,417.27/x
  3. Step 3: Cross multiply
    33,457.11x = 45,417.27 × 45,417.27
  4. Step 4: Simplify right side
    33,457.11x = 2,062,728,371.67
  5. Step 5: Solve for x
    x = 2,062,728,371.67/33,457.11
  6. Step 6: Final answer
    x = 61,652.91

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.