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Finding the Third Proportional to 22,175 and 47,867

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Solution

The third proportional to 22,175 and 47,867 is: 103,325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,175 : 47,867 = 47,867 : x
  2. Step 2: Convert to fraction form
    22,175/47,867 = 47,867/x
  3. Step 3: Cross multiply
    22,175x = 47,867 × 47,867
  4. Step 4: Simplify right side
    22,175x = 2,291,249,689
  5. Step 5: Solve for x
    x = 2,291,249,689/22,175
  6. Step 6: Final answer
    x = 103,325.80

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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.