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Finding the Third Proportional to 1,580 and 2,950

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Solution

The third proportional to 1,580 and 2,950 is: 5,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580 : 2,950 = 2,950 : x
  2. Step 2: Convert to fraction form
    1,580/2,950 = 2,950/x
  3. Step 3: Cross multiply
    1,580x = 2,950 × 2,950
  4. Step 4: Simplify right side
    1,580x = 8,702,500
  5. Step 5: Solve for x
    x = 8,702,500/1,580
  6. Step 6: Final answer
    x = 5,507.91

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.