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Finding the Third Proportional to 2,031.19 and 4,915.69

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Solution

The third proportional to 2,031.19 and 4,915.69 is: 11,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.19 : 4,915.69 = 4,915.69 : x
  2. Step 2: Convert to fraction form
    2,031.19/4,915.69 = 4,915.69/x
  3. Step 3: Cross multiply
    2,031.19x = 4,915.69 × 4,915.69
  4. Step 4: Simplify right side
    2,031.19x = 24,163,983.60
  5. Step 5: Solve for x
    x = 24,163,983.60/2,031.19
  6. Step 6: Final answer
    x = 11,896.48

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.