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Finding the Third Proportional to 26,734.50 and 58,545

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Solution

The third proportional to 26,734.50 and 58,545 is: 128,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,734.50 : 58,545 = 58,545 : x
  2. Step 2: Convert to fraction form
    26,734.50/58,545 = 58,545/x
  3. Step 3: Cross multiply
    26,734.50x = 58,545 × 58,545
  4. Step 4: Simplify right side
    26,734.50x = 3,427,517,025
  5. Step 5: Solve for x
    x = 3,427,517,025/26,734.50
  6. Step 6: Final answer
    x = 128,205.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.