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Finding the Third Proportional to 16,569.75 and 35,371.50

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Solution

The third proportional to 16,569.75 and 35,371.50 is: 75,507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,569.75 : 35,371.50 = 35,371.50 : x
  2. Step 2: Convert to fraction form
    16,569.75/35,371.50 = 35,371.50/x
  3. Step 3: Cross multiply
    16,569.75x = 35,371.50 × 35,371.50
  4. Step 4: Simplify right side
    16,569.75x = 1,251,143,012.25
  5. Step 5: Solve for x
    x = 1,251,143,012.25/16,569.75
  6. Step 6: Final answer
    x = 75,507.66

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.