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Finding the Third Proportional to 1,915.17 and 2,884.22

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Solution

The third proportional to 1,915.17 and 2,884.22 is: 4,343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.17 : 2,884.22 = 2,884.22 : x
  2. Step 2: Convert to fraction form
    1,915.17/2,884.22 = 2,884.22/x
  3. Step 3: Cross multiply
    1,915.17x = 2,884.22 × 2,884.22
  4. Step 4: Simplify right side
    1,915.17x = 8,318,717.80
  5. Step 5: Solve for x
    x = 8,318,717.80/1,915.17
  6. Step 6: Final answer
    x = 4,343.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.