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Finding the Third Proportional to 47,431 and 63,444

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Solution

The third proportional to 47,431 and 63,444 is: 84,863.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,431 : 63,444 = 63,444 : x
  2. Step 2: Convert to fraction form
    47,431/63,444 = 63,444/x
  3. Step 3: Cross multiply
    47,431x = 63,444 × 63,444
  4. Step 4: Simplify right side
    47,431x = 4,025,141,136
  5. Step 5: Solve for x
    x = 4,025,141,136/47,431
  6. Step 6: Final answer
    x = 84,863.09

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.