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Finding the Third Proportional to 22,996 and 36,889

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Solution

The third proportional to 22,996 and 36,889 is: 59,175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996 : 36,889 = 36,889 : x
  2. Step 2: Convert to fraction form
    22,996/36,889 = 36,889/x
  3. Step 3: Cross multiply
    22,996x = 36,889 × 36,889
  4. Step 4: Simplify right side
    22,996x = 1,360,798,321
  5. Step 5: Solve for x
    x = 1,360,798,321/22,996
  6. Step 6: Final answer
    x = 59,175.44

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.