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Finding the Third Proportional to 21,564 and 47,322

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Solution

The third proportional to 21,564 and 47,322 is: 103,847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564 : 47,322 = 47,322 : x
  2. Step 2: Convert to fraction form
    21,564/47,322 = 47,322/x
  3. Step 3: Cross multiply
    21,564x = 47,322 × 47,322
  4. Step 4: Simplify right side
    21,564x = 2,239,371,684
  5. Step 5: Solve for x
    x = 2,239,371,684/21,564
  6. Step 6: Final answer
    x = 103,847.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.