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Finding the Third Proportional to 47,912 and 68,576

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Solution

The third proportional to 47,912 and 68,576 is: 98,152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,912 : 68,576 = 68,576 : x
  2. Step 2: Convert to fraction form
    47,912/68,576 = 68,576/x
  3. Step 3: Cross multiply
    47,912x = 68,576 × 68,576
  4. Step 4: Simplify right side
    47,912x = 4,702,667,776
  5. Step 5: Solve for x
    x = 4,702,667,776/47,912
  6. Step 6: Final answer
    x = 98,152.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.