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Finding the Third Proportional to 22,466 and 33,987

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Solution

The third proportional to 22,466 and 33,987 is: 51,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,466 : 33,987 = 33,987 : x
  2. Step 2: Convert to fraction form
    22,466/33,987 = 33,987/x
  3. Step 3: Cross multiply
    22,466x = 33,987 × 33,987
  4. Step 4: Simplify right side
    22,466x = 1,155,116,169
  5. Step 5: Solve for x
    x = 1,155,116,169/22,466
  6. Step 6: Final answer
    x = 51,416.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.