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Finding the Third Proportional to 3,162.09 and 4,885.59

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Solution

The third proportional to 3,162.09 and 4,885.59 is: 7,548.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.09 : 4,885.59 = 4,885.59 : x
  2. Step 2: Convert to fraction form
    3,162.09/4,885.59 = 4,885.59/x
  3. Step 3: Cross multiply
    3,162.09x = 4,885.59 × 4,885.59
  4. Step 4: Simplify right side
    3,162.09x = 23,869,026.29
  5. Step 5: Solve for x
    x = 23,869,026.29/3,162.09
  6. Step 6: Final answer
    x = 7,548.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.