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Finding the Third Proportional to 28,671.75 and 58,617

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Solution

The third proportional to 28,671.75 and 58,617 is: 119,837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,671.75 : 58,617 = 58,617 : x
  2. Step 2: Convert to fraction form
    28,671.75/58,617 = 58,617/x
  3. Step 3: Cross multiply
    28,671.75x = 58,617 × 58,617
  4. Step 4: Simplify right side
    28,671.75x = 3,435,952,689
  5. Step 5: Solve for x
    x = 3,435,952,689/28,671.75
  6. Step 6: Final answer
    x = 119,837.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.