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Finding the Third Proportional to 4,092.75 and 9,705.38

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Solution

The third proportional to 4,092.75 and 9,705.38 is: 23,014.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.75 : 9,705.38 = 9,705.38 : x
  2. Step 2: Convert to fraction form
    4,092.75/9,705.38 = 9,705.38/x
  3. Step 3: Cross multiply
    4,092.75x = 9,705.38 × 9,705.38
  4. Step 4: Simplify right side
    4,092.75x = 94,194,303.89
  5. Step 5: Solve for x
    x = 94,194,303.89/4,092.75
  6. Step 6: Final answer
    x = 23,014.92

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.