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Finding the Third Proportional to 26,982 and 58,882

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Solution

The third proportional to 26,982 and 58,882 is: 128,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,982 : 58,882 = 58,882 : x
  2. Step 2: Convert to fraction form
    26,982/58,882 = 58,882/x
  3. Step 3: Cross multiply
    26,982x = 58,882 × 58,882
  4. Step 4: Simplify right side
    26,982x = 3,467,089,924
  5. Step 5: Solve for x
    x = 3,467,089,924/26,982
  6. Step 6: Final answer
    x = 128,496.40

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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.