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Finding the Third Proportional to 19,755.75 and 29,845.50

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Solution

The third proportional to 19,755.75 and 29,845.50 is: 45,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,755.75 : 29,845.50 = 29,845.50 : x
  2. Step 2: Convert to fraction form
    19,755.75/29,845.50 = 29,845.50/x
  3. Step 3: Cross multiply
    19,755.75x = 29,845.50 × 29,845.50
  4. Step 4: Simplify right side
    19,755.75x = 890,753,870.25
  5. Step 5: Solve for x
    x = 890,753,870.25/19,755.75
  6. Step 6: Final answer
    x = 45,088.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.