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Finding the Third Proportional to 1,855.41 and 4,031.02

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Solution

The third proportional to 1,855.41 and 4,031.02 is: 8,757.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.41 : 4,031.02 = 4,031.02 : x
  2. Step 2: Convert to fraction form
    1,855.41/4,031.02 = 4,031.02/x
  3. Step 3: Cross multiply
    1,855.41x = 4,031.02 × 4,031.02
  4. Step 4: Simplify right side
    1,855.41x = 16,249,086.97
  5. Step 5: Solve for x
    x = 16,249,086.97/1,855.41
  6. Step 6: Final answer
    x = 8,757.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.