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Finding the Third Proportional to 47,484 and 67,857

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Solution

The third proportional to 47,484 and 67,857 is: 96,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,484 : 67,857 = 67,857 : x
  2. Step 2: Convert to fraction form
    47,484/67,857 = 67,857/x
  3. Step 3: Cross multiply
    47,484x = 67,857 × 67,857
  4. Step 4: Simplify right side
    47,484x = 4,604,572,449
  5. Step 5: Solve for x
    x = 4,604,572,449/47,484
  6. Step 6: Final answer
    x = 96,971.03

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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.