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Finding the Third Proportional to 8,273.87 and 18,085.46

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Solution

The third proportional to 8,273.87 and 18,085.46 is: 39,532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.87 : 18,085.46 = 18,085.46 : x
  2. Step 2: Convert to fraction form
    8,273.87/18,085.46 = 18,085.46/x
  3. Step 3: Cross multiply
    8,273.87x = 18,085.46 × 18,085.46
  4. Step 4: Simplify right side
    8,273.87x = 327,084,038.61
  5. Step 5: Solve for x
    x = 327,084,038.61/8,273.87
  6. Step 6: Final answer
    x = 39,532.19

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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.