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Finding the Third Proportional to 26,884.50 and 58,485

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Solution

The third proportional to 26,884.50 and 58,485 is: 127,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,884.50 : 58,485 = 58,485 : x
  2. Step 2: Convert to fraction form
    26,884.50/58,485 = 58,485/x
  3. Step 3: Cross multiply
    26,884.50x = 58,485 × 58,485
  4. Step 4: Simplify right side
    26,884.50x = 3,420,495,225
  5. Step 5: Solve for x
    x = 3,420,495,225/26,884.50
  6. Step 6: Final answer
    x = 127,229.27

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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.