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Finding the Third Proportional to 1,537 and 3,424

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Solution

The third proportional to 1,537 and 3,424 is: 7,627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537 : 3,424 = 3,424 : x
  2. Step 2: Convert to fraction form
    1,537/3,424 = 3,424/x
  3. Step 3: Cross multiply
    1,537x = 3,424 × 3,424
  4. Step 4: Simplify right side
    1,537x = 11,723,776
  5. Step 5: Solve for x
    x = 11,723,776/1,537
  6. Step 6: Final answer
    x = 7,627.70

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.