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Finding the Third Proportional to 21,678 and 47,328

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Solution

The third proportional to 21,678 and 47,328 is: 103,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678 : 47,328 = 47,328 : x
  2. Step 2: Convert to fraction form
    21,678/47,328 = 47,328/x
  3. Step 3: Cross multiply
    21,678x = 47,328 × 47,328
  4. Step 4: Simplify right side
    21,678x = 2,239,939,584
  5. Step 5: Solve for x
    x = 2,239,939,584/21,678
  6. Step 6: Final answer
    x = 103,327.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.