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Finding the Third Proportional to 8,085.38 and 16,862.63

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Solution

The third proportional to 8,085.38 and 16,862.63 is: 35,168.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085.38 : 16,862.63 = 16,862.63 : x
  2. Step 2: Convert to fraction form
    8,085.38/16,862.63 = 16,862.63/x
  3. Step 3: Cross multiply
    8,085.38x = 16,862.63 × 16,862.63
  4. Step 4: Simplify right side
    8,085.38x = 284,348,121.89
  5. Step 5: Solve for x
    x = 284,348,121.89/8,085.38
  6. Step 6: Final answer
    x = 35,168.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.