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Finding the Third Proportional to 1,580 and 2,339

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Solution

The third proportional to 1,580 and 2,339 is: 3,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580 : 2,339 = 2,339 : x
  2. Step 2: Convert to fraction form
    1,580/2,339 = 2,339/x
  3. Step 3: Cross multiply
    1,580x = 2,339 × 2,339
  4. Step 4: Simplify right side
    1,580x = 5,470,921
  5. Step 5: Solve for x
    x = 5,470,921/1,580
  6. Step 6: Final answer
    x = 3,462.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.