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Finding the Third Proportional to 21,862 and 47,617

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Solution

The third proportional to 21,862 and 47,617 is: 103,713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,862 : 47,617 = 47,617 : x
  2. Step 2: Convert to fraction form
    21,862/47,617 = 47,617/x
  3. Step 3: Cross multiply
    21,862x = 47,617 × 47,617
  4. Step 4: Simplify right side
    21,862x = 2,267,378,689
  5. Step 5: Solve for x
    x = 2,267,378,689/21,862
  6. Step 6: Final answer
    x = 103,713.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.