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Finding the Third Proportional to 26,929.50 and 58,755

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Solution

The third proportional to 26,929.50 and 58,755 is: 128,192.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,929.50 : 58,755 = 58,755 : x
  2. Step 2: Convert to fraction form
    26,929.50/58,755 = 58,755/x
  3. Step 3: Cross multiply
    26,929.50x = 58,755 × 58,755
  4. Step 4: Simplify right side
    26,929.50x = 3,452,150,025
  5. Step 5: Solve for x
    x = 3,452,150,025/26,929.50
  6. Step 6: Final answer
    x = 128,192.13

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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.