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Finding the Third Proportional to 19,759.50 and 46,644.75

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Solution

The third proportional to 19,759.50 and 46,644.75 is: 110,110.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,759.50 : 46,644.75 = 46,644.75 : x
  2. Step 2: Convert to fraction form
    19,759.50/46,644.75 = 46,644.75/x
  3. Step 3: Cross multiply
    19,759.50x = 46,644.75 × 46,644.75
  4. Step 4: Simplify right side
    19,759.50x = 2,175,732,702.56
  5. Step 5: Solve for x
    x = 2,175,732,702.56/19,759.50
  6. Step 6: Final answer
    x = 110,110.72

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.