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Finding the Third Proportional to 26,677.50 and 58,275

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Solution

The third proportional to 26,677.50 and 58,275 is: 127,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,677.50 : 58,275 = 58,275 : x
  2. Step 2: Convert to fraction form
    26,677.50/58,275 = 58,275/x
  3. Step 3: Cross multiply
    26,677.50x = 58,275 × 58,275
  4. Step 4: Simplify right side
    26,677.50x = 3,395,975,625
  5. Step 5: Solve for x
    x = 3,395,975,625/26,677.50
  6. Step 6: Final answer
    x = 127,297.37

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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.