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Finding the Third Proportional to 4,001.06 and 5,705.44

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Solution

The third proportional to 4,001.06 and 5,705.44 is: 8,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.06 : 5,705.44 = 5,705.44 : x
  2. Step 2: Convert to fraction form
    4,001.06/5,705.44 = 5,705.44/x
  3. Step 3: Cross multiply
    4,001.06x = 5,705.44 × 5,705.44
  4. Step 4: Simplify right side
    4,001.06x = 32,552,017.07
  5. Step 5: Solve for x
    x = 32,552,017.07/4,001.06
  6. Step 6: Final answer
    x = 8,135.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.