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Finding the Third Proportional to 26,964 and 58,308

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Solution

The third proportional to 26,964 and 58,308 is: 126,087.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,964 : 58,308 = 58,308 : x
  2. Step 2: Convert to fraction form
    26,964/58,308 = 58,308/x
  3. Step 3: Cross multiply
    26,964x = 58,308 × 58,308
  4. Step 4: Simplify right side
    26,964x = 3,399,822,864
  5. Step 5: Solve for x
    x = 3,399,822,864/26,964
  6. Step 6: Final answer
    x = 126,087.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.