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Finding the Third Proportional to 2,885.63 and 5,195.81

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Solution

The third proportional to 2,885.63 and 5,195.81 is: 9,355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.63 : 5,195.81 = 5,195.81 : x
  2. Step 2: Convert to fraction form
    2,885.63/5,195.81 = 5,195.81/x
  3. Step 3: Cross multiply
    2,885.63x = 5,195.81 × 5,195.81
  4. Step 4: Simplify right side
    2,885.63x = 26,996,467.54
  5. Step 5: Solve for x
    x = 26,996,467.54/2,885.63
  6. Step 6: Final answer
    x = 9,355.50

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.