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Finding the Third Proportional to 27,228.52 and 58,980.54

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Solution

The third proportional to 27,228.52 and 58,980.54 is: 127,759.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,228.52 : 58,980.54 = 58,980.54 : x
  2. Step 2: Convert to fraction form
    27,228.52/58,980.54 = 58,980.54/x
  3. Step 3: Cross multiply
    27,228.52x = 58,980.54 × 58,980.54
  4. Step 4: Simplify right side
    27,228.52x = 3,478,703,815.31
  5. Step 5: Solve for x
    x = 3,478,703,815.31/27,228.52
  6. Step 6: Final answer
    x = 127,759.57

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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.