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Finding the Third Proportional to 26,980 and 58,700

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Solution

The third proportional to 26,980 and 58,700 is: 127,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,980 : 58,700 = 58,700 : x
  2. Step 2: Convert to fraction form
    26,980/58,700 = 58,700/x
  3. Step 3: Cross multiply
    26,980x = 58,700 × 58,700
  4. Step 4: Simplify right side
    26,980x = 3,445,690,000
  5. Step 5: Solve for x
    x = 3,445,690,000/26,980
  6. Step 6: Final answer
    x = 127,712.75

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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.