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Finding the Third Proportional to 22,431 and 47,187

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Solution

The third proportional to 22,431 and 47,187 is: 99,264.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431 : 47,187 = 47,187 : x
  2. Step 2: Convert to fraction form
    22,431/47,187 = 47,187/x
  3. Step 3: Cross multiply
    22,431x = 47,187 × 47,187
  4. Step 4: Simplify right side
    22,431x = 2,226,612,969
  5. Step 5: Solve for x
    x = 2,226,612,969/22,431
  6. Step 6: Final answer
    x = 99,264.99

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.