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Finding the Third Proportional to 2,031.33 and 2,984.34

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Solution

The third proportional to 2,031.33 and 2,984.34 is: 4,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.33 : 2,984.34 = 2,984.34 : x
  2. Step 2: Convert to fraction form
    2,031.33/2,984.34 = 2,984.34/x
  3. Step 3: Cross multiply
    2,031.33x = 2,984.34 × 2,984.34
  4. Step 4: Simplify right side
    2,031.33x = 8,906,307.62
  5. Step 5: Solve for x
    x = 8,906,307.62/2,031.33
  6. Step 6: Final answer
    x = 4,384.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.