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Finding the Third Proportional to 8,702.25 and 18,633.75

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Solution

The third proportional to 8,702.25 and 18,633.75 is: 39,899.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.25 : 18,633.75 = 18,633.75 : x
  2. Step 2: Convert to fraction form
    8,702.25/18,633.75 = 18,633.75/x
  3. Step 3: Cross multiply
    8,702.25x = 18,633.75 × 18,633.75
  4. Step 4: Simplify right side
    8,702.25x = 347,216,639.06
  5. Step 5: Solve for x
    x = 347,216,639.06/8,702.25
  6. Step 6: Final answer
    x = 39,899.64

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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.