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Finding the Third Proportional to 1,161.21 and 1,885.15

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Solution

The third proportional to 1,161.21 and 1,885.15 is: 3,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.21 : 1,885.15 = 1,885.15 : x
  2. Step 2: Convert to fraction form
    1,161.21/1,885.15 = 1,885.15/x
  3. Step 3: Cross multiply
    1,161.21x = 1,885.15 × 1,885.15
  4. Step 4: Simplify right side
    1,161.21x = 3,553,784.63
  5. Step 5: Solve for x
    x = 3,553,784.63/1,161.21
  6. Step 6: Final answer
    x = 3,060.41

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.