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Finding the Third Proportional to 10,664 and 22,558

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Solution

The third proportional to 10,664 and 22,558 is: 47,717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664 : 22,558 = 22,558 : x
  2. Step 2: Convert to fraction form
    10,664/22,558 = 22,558/x
  3. Step 3: Cross multiply
    10,664x = 22,558 × 22,558
  4. Step 4: Simplify right side
    10,664x = 508,863,364
  5. Step 5: Solve for x
    x = 508,863,364/10,664
  6. Step 6: Final answer
    x = 47,717.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.