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Finding the Third Proportional to 20,258 and 26,967

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Solution

The third proportional to 20,258 and 26,967 is: 35,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,258 : 26,967 = 26,967 : x
  2. Step 2: Convert to fraction form
    20,258/26,967 = 26,967/x
  3. Step 3: Cross multiply
    20,258x = 26,967 × 26,967
  4. Step 4: Simplify right side
    20,258x = 727,219,089
  5. Step 5: Solve for x
    x = 727,219,089/20,258
  6. Step 6: Final answer
    x = 35,897.87

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.