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Finding the Third Proportional to 1,215.19 and 1,885.22

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Solution

The third proportional to 1,215.19 and 1,885.22 is: 2,924.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.19 : 1,885.22 = 1,885.22 : x
  2. Step 2: Convert to fraction form
    1,215.19/1,885.22 = 1,885.22/x
  3. Step 3: Cross multiply
    1,215.19x = 1,885.22 × 1,885.22
  4. Step 4: Simplify right side
    1,215.19x = 3,554,049.74
  5. Step 5: Solve for x
    x = 3,554,049.74/1,215.19
  6. Step 6: Final answer
    x = 2,924.69

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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.