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Finding the Third Proportional to 1,215.84 and 1,930.13

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Solution

The third proportional to 1,215.84 and 1,930.13 is: 3,064.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.84 : 1,930.13 = 1,930.13 : x
  2. Step 2: Convert to fraction form
    1,215.84/1,930.13 = 1,930.13/x
  3. Step 3: Cross multiply
    1,215.84x = 1,930.13 × 1,930.13
  4. Step 4: Simplify right side
    1,215.84x = 3,725,382.52
  5. Step 5: Solve for x
    x = 3,725,382.52/1,215.84
  6. Step 6: Final answer
    x = 3,064.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.