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Finding the Third Proportional to 8,085.94 and 17,675.44

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Solution

The third proportional to 8,085.94 and 17,675.44 is: 38,637.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085.94 : 17,675.44 = 17,675.44 : x
  2. Step 2: Convert to fraction form
    8,085.94/17,675.44 = 17,675.44/x
  3. Step 3: Cross multiply
    8,085.94x = 17,675.44 × 17,675.44
  4. Step 4: Simplify right side
    8,085.94x = 312,421,090.82
  5. Step 5: Solve for x
    x = 312,421,090.82/8,085.94
  6. Step 6: Final answer
    x = 38,637.58

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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.