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Finding the Third Proportional to 4,157.58 and 9,085.92

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Solution

The third proportional to 4,157.58 and 9,085.92 is: 19,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.58 : 9,085.92 = 9,085.92 : x
  2. Step 2: Convert to fraction form
    4,157.58/9,085.92 = 9,085.92/x
  3. Step 3: Cross multiply
    4,157.58x = 9,085.92 × 9,085.92
  4. Step 4: Simplify right side
    4,157.58x = 82,553,976.32
  5. Step 5: Solve for x
    x = 82,553,976.32/4,157.58
  6. Step 6: Final answer
    x = 19,856.27

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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.