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Finding the Third Proportional to 26,973 and 58,035

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Solution

The third proportional to 26,973 and 58,035 is: 124,867.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,973 : 58,035 = 58,035 : x
  2. Step 2: Convert to fraction form
    26,973/58,035 = 58,035/x
  3. Step 3: Cross multiply
    26,973x = 58,035 × 58,035
  4. Step 4: Simplify right side
    26,973x = 3,368,061,225
  5. Step 5: Solve for x
    x = 3,368,061,225/26,973
  6. Step 6: Final answer
    x = 124,867.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.