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Finding the Third Proportional to 2,338 and 3,557

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Solution

The third proportional to 2,338 and 3,557 is: 5,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338 : 3,557 = 3,557 : x
  2. Step 2: Convert to fraction form
    2,338/3,557 = 3,557/x
  3. Step 3: Cross multiply
    2,338x = 3,557 × 3,557
  4. Step 4: Simplify right side
    2,338x = 12,652,249
  5. Step 5: Solve for x
    x = 12,652,249/2,338
  6. Step 6: Final answer
    x = 5,411.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.