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Finding the Third Proportional to 22,410 and 29,187

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Solution

The third proportional to 22,410 and 29,187 is: 38,013.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,410 : 29,187 = 29,187 : x
  2. Step 2: Convert to fraction form
    22,410/29,187 = 29,187/x
  3. Step 3: Cross multiply
    22,410x = 29,187 × 29,187
  4. Step 4: Simplify right side
    22,410x = 851,880,969
  5. Step 5: Solve for x
    x = 851,880,969/22,410
  6. Step 6: Final answer
    x = 38,013.43

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.