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Finding the Third Proportional to 915.66 and 1,896.16

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Solution

The third proportional to 915.66 and 1,896.16 is: 3,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.66 : 1,896.16 = 1,896.16 : x
  2. Step 2: Convert to fraction form
    915.66/1,896.16 = 1,896.16/x
  3. Step 3: Cross multiply
    915.66x = 1,896.16 × 1,896.16
  4. Step 4: Simplify right side
    915.66x = 3,595,408.52
  5. Step 5: Solve for x
    x = 3,595,408.52/915.66
  6. Step 6: Final answer
    x = 3,926.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.