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Finding the Third Proportional to 1,656 and 2,596

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Solution

The third proportional to 1,656 and 2,596 is: 4,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656 : 2,596 = 2,596 : x
  2. Step 2: Convert to fraction form
    1,656/2,596 = 2,596/x
  3. Step 3: Cross multiply
    1,656x = 2,596 × 2,596
  4. Step 4: Simplify right side
    1,656x = 6,739,216
  5. Step 5: Solve for x
    x = 6,739,216/1,656
  6. Step 6: Final answer
    x = 4,069.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.