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Finding the Third Proportional to 21,594 and 47,189

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Solution

The third proportional to 21,594 and 47,189 is: 103,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,594 : 47,189 = 47,189 : x
  2. Step 2: Convert to fraction form
    21,594/47,189 = 47,189/x
  3. Step 3: Cross multiply
    21,594x = 47,189 × 47,189
  4. Step 4: Simplify right side
    21,594x = 2,226,801,721
  5. Step 5: Solve for x
    x = 2,226,801,721/21,594
  6. Step 6: Final answer
    x = 103,121.32

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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.