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Finding the Third Proportional to 21,586 and 47,173

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Solution

The third proportional to 21,586 and 47,173 is: 103,089.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,586 : 47,173 = 47,173 : x
  2. Step 2: Convert to fraction form
    21,586/47,173 = 47,173/x
  3. Step 3: Cross multiply
    21,586x = 47,173 × 47,173
  4. Step 4: Simplify right side
    21,586x = 2,225,291,929
  5. Step 5: Solve for x
    x = 2,225,291,929/21,586
  6. Step 6: Final answer
    x = 103,089.59

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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.