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Finding the Third Proportional to 26,850.50 and 58,316

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Solution

The third proportional to 26,850.50 and 58,316 is: 126,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,850.50 : 58,316 = 58,316 : x
  2. Step 2: Convert to fraction form
    26,850.50/58,316 = 58,316/x
  3. Step 3: Cross multiply
    26,850.50x = 58,316 × 58,316
  4. Step 4: Simplify right side
    26,850.50x = 3,400,755,856
  5. Step 5: Solve for x
    x = 3,400,755,856/26,850.50
  6. Step 6: Final answer
    x = 126,655.22

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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.