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Finding the Third Proportional to 2,585 and 4,031

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Solution

The third proportional to 2,585 and 4,031 is: 6,285.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585 : 4,031 = 4,031 : x
  2. Step 2: Convert to fraction form
    2,585/4,031 = 4,031/x
  3. Step 3: Cross multiply
    2,585x = 4,031 × 4,031
  4. Step 4: Simplify right side
    2,585x = 16,248,961
  5. Step 5: Solve for x
    x = 16,248,961/2,585
  6. Step 6: Final answer
    x = 6,285.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.