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Finding the Third Proportional to 21,987 and 47,511

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Solution

The third proportional to 21,987 and 47,511 is: 102,664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,987 : 47,511 = 47,511 : x
  2. Step 2: Convert to fraction form
    21,987/47,511 = 47,511/x
  3. Step 3: Cross multiply
    21,987x = 47,511 × 47,511
  4. Step 4: Simplify right side
    21,987x = 2,257,295,121
  5. Step 5: Solve for x
    x = 2,257,295,121/21,987
  6. Step 6: Final answer
    x = 102,664.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.