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Finding the Third Proportional to 30,105 and 42,787.50

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Solution

The third proportional to 30,105 and 42,787.50 is: 60,812.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,105 : 42,787.50 = 42,787.50 : x
  2. Step 2: Convert to fraction form
    30,105/42,787.50 = 42,787.50/x
  3. Step 3: Cross multiply
    30,105x = 42,787.50 × 42,787.50
  4. Step 4: Simplify right side
    30,105x = 1,830,770,156.25
  5. Step 5: Solve for x
    x = 1,830,770,156.25/30,105
  6. Step 6: Final answer
    x = 60,812.83

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.