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Finding the Third Proportional to 16,565.25 and 33,117

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Solution

The third proportional to 16,565.25 and 33,117 is: 66,207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.25 : 33,117 = 33,117 : x
  2. Step 2: Convert to fraction form
    16,565.25/33,117 = 33,117/x
  3. Step 3: Cross multiply
    16,565.25x = 33,117 × 33,117
  4. Step 4: Simplify right side
    16,565.25x = 1,096,735,689
  5. Step 5: Solve for x
    x = 1,096,735,689/16,565.25
  6. Step 6: Final answer
    x = 66,207.01

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.