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Finding the Third Proportional to 2,031.75 and 4,336.88

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Solution

The third proportional to 2,031.75 and 4,336.88 is: 9,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.75 : 4,336.88 = 4,336.88 : x
  2. Step 2: Convert to fraction form
    2,031.75/4,336.88 = 4,336.88/x
  3. Step 3: Cross multiply
    2,031.75x = 4,336.88 × 4,336.88
  4. Step 4: Simplify right side
    2,031.75x = 18,808,484.77
  5. Step 5: Solve for x
    x = 18,808,484.77/2,031.75
  6. Step 6: Final answer
    x = 9,257.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.