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Finding the Third Proportional to 1,985.06 and 3,529.69

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Solution

The third proportional to 1,985.06 and 3,529.69 is: 6,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.06 : 3,529.69 = 3,529.69 : x
  2. Step 2: Convert to fraction form
    1,985.06/3,529.69 = 3,529.69/x
  3. Step 3: Cross multiply
    1,985.06x = 3,529.69 × 3,529.69
  4. Step 4: Simplify right side
    1,985.06x = 12,458,693.85
  5. Step 5: Solve for x
    x = 12,458,693.85/1,985.06
  6. Step 6: Final answer
    x = 6,276.22

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.