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Finding the Third Proportional to 1,855.13 and 2,031.75

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Solution

The third proportional to 1,855.13 and 2,031.75 is: 2,225.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.13 : 2,031.75 = 2,031.75 : x
  2. Step 2: Convert to fraction form
    1,855.13/2,031.75 = 2,031.75/x
  3. Step 3: Cross multiply
    1,855.13x = 2,031.75 × 2,031.75
  4. Step 4: Simplify right side
    1,855.13x = 4,128,008.06
  5. Step 5: Solve for x
    x = 4,128,008.06/1,855.13
  6. Step 6: Final answer
    x = 2,225.19

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.