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Finding the Third Proportional to 19,100.75 and 29,200.25

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Solution

The third proportional to 19,100.75 and 29,200.25 is: 44,639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,100.75 : 29,200.25 = 29,200.25 : x
  2. Step 2: Convert to fraction form
    19,100.75/29,200.25 = 29,200.25/x
  3. Step 3: Cross multiply
    19,100.75x = 29,200.25 × 29,200.25
  4. Step 4: Simplify right side
    19,100.75x = 852,654,600.06
  5. Step 5: Solve for x
    x = 852,654,600.06/19,100.75
  6. Step 6: Final answer
    x = 44,639.85

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.