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Finding the Third Proportional to 21,564 and 45,234

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Solution

The third proportional to 21,564 and 45,234 is: 94,885.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564 : 45,234 = 45,234 : x
  2. Step 2: Convert to fraction form
    21,564/45,234 = 45,234/x
  3. Step 3: Cross multiply
    21,564x = 45,234 × 45,234
  4. Step 4: Simplify right side
    21,564x = 2,046,114,756
  5. Step 5: Solve for x
    x = 2,046,114,756/21,564
  6. Step 6: Final answer
    x = 94,885.68

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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.