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Finding the Third Proportional to 2,585 and 4,296

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Solution

The third proportional to 2,585 and 4,296 is: 7,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585 : 4,296 = 4,296 : x
  2. Step 2: Convert to fraction form
    2,585/4,296 = 4,296/x
  3. Step 3: Cross multiply
    2,585x = 4,296 × 4,296
  4. Step 4: Simplify right side
    2,585x = 18,455,616
  5. Step 5: Solve for x
    x = 18,455,616/2,585
  6. Step 6: Final answer
    x = 7,139.50

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.