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Finding the Third Proportional to 1,484.58 and 3,187.48

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Solution

The third proportional to 1,484.58 and 3,187.48 is: 6,843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.58 : 3,187.48 = 3,187.48 : x
  2. Step 2: Convert to fraction form
    1,484.58/3,187.48 = 3,187.48/x
  3. Step 3: Cross multiply
    1,484.58x = 3,187.48 × 3,187.48
  4. Step 4: Simplify right side
    1,484.58x = 10,160,006.84
  5. Step 5: Solve for x
    x = 10,160,006.84/1,484.58
  6. Step 6: Final answer
    x = 6,843.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.