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Finding the Third Proportional to 29,812 and 41,784

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Solution

The third proportional to 29,812 and 41,784 is: 58,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,812 : 41,784 = 41,784 : x
  2. Step 2: Convert to fraction form
    29,812/41,784 = 41,784/x
  3. Step 3: Cross multiply
    29,812x = 41,784 × 41,784
  4. Step 4: Simplify right side
    29,812x = 1,745,902,656
  5. Step 5: Solve for x
    x = 1,745,902,656/29,812
  6. Step 6: Final answer
    x = 58,563.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.