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Finding the Third Proportional to 5,824.41 and 9,085.92

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Solution

The third proportional to 5,824.41 and 9,085.92 is: 14,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.41 : 9,085.92 = 9,085.92 : x
  2. Step 2: Convert to fraction form
    5,824.41/9,085.92 = 9,085.92/x
  3. Step 3: Cross multiply
    5,824.41x = 9,085.92 × 9,085.92
  4. Step 4: Simplify right side
    5,824.41x = 82,553,976.32
  5. Step 5: Solve for x
    x = 82,553,976.32/5,824.41
  6. Step 6: Final answer
    x = 14,173.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.