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Finding the Third Proportional to 21,637 and 47,279

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Solution

The third proportional to 21,637 and 47,279 is: 103,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,637 : 47,279 = 47,279 : x
  2. Step 2: Convert to fraction form
    21,637/47,279 = 47,279/x
  3. Step 3: Cross multiply
    21,637x = 47,279 × 47,279
  4. Step 4: Simplify right side
    21,637x = 2,235,303,841
  5. Step 5: Solve for x
    x = 2,235,303,841/21,637
  6. Step 6: Final answer
    x = 103,309.32

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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.