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Finding the Third Proportional to 3,409 and 4,581

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Solution

The third proportional to 3,409 and 4,581 is: 6,155.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409 : 4,581 = 4,581 : x
  2. Step 2: Convert to fraction form
    3,409/4,581 = 4,581/x
  3. Step 3: Cross multiply
    3,409x = 4,581 × 4,581
  4. Step 4: Simplify right side
    3,409x = 20,985,561
  5. Step 5: Solve for x
    x = 20,985,561/3,409
  6. Step 6: Final answer
    x = 6,155.93

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.