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Finding the Third Proportional to 17,664 and 27,387

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Solution

The third proportional to 17,664 and 27,387 is: 42,461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,664 : 27,387 = 27,387 : x
  2. Step 2: Convert to fraction form
    17,664/27,387 = 27,387/x
  3. Step 3: Cross multiply
    17,664x = 27,387 × 27,387
  4. Step 4: Simplify right side
    17,664x = 750,047,769
  5. Step 5: Solve for x
    x = 750,047,769/17,664
  6. Step 6: Final answer
    x = 42,461.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.