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Finding the Third Proportional to 1,580 and 3,598

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Solution

The third proportional to 1,580 and 3,598 is: 8,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580 : 3,598 = 3,598 : x
  2. Step 2: Convert to fraction form
    1,580/3,598 = 3,598/x
  3. Step 3: Cross multiply
    1,580x = 3,598 × 3,598
  4. Step 4: Simplify right side
    1,580x = 12,945,604
  5. Step 5: Solve for x
    x = 12,945,604/1,580
  6. Step 6: Final answer
    x = 8,193.42

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.