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Finding the Third Proportional to 29,787.75 and 42,346.13

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Solution

The third proportional to 29,787.75 and 42,346.13 is: 60,199.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,787.75 : 42,346.13 = 42,346.13 : x
  2. Step 2: Convert to fraction form
    29,787.75/42,346.13 = 42,346.13/x
  3. Step 3: Cross multiply
    29,787.75x = 42,346.13 × 42,346.13
  4. Step 4: Simplify right side
    29,787.75x = 1,793,194,302.52
  5. Step 5: Solve for x
    x = 1,793,194,302.52/29,787.75
  6. Step 6: Final answer
    x = 60,199.05

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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.