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Finding the Third Proportional to 26,914 and 58,364

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Solution

The third proportional to 26,914 and 58,364 is: 126,564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,914 : 58,364 = 58,364 : x
  2. Step 2: Convert to fraction form
    26,914/58,364 = 58,364/x
  3. Step 3: Cross multiply
    26,914x = 58,364 × 58,364
  4. Step 4: Simplify right side
    26,914x = 3,406,356,496
  5. Step 5: Solve for x
    x = 3,406,356,496/26,914
  6. Step 6: Final answer
    x = 126,564.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.