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Finding the Third Proportional to 2,290 and 3,643

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Solution

The third proportional to 2,290 and 3,643 is: 5,795.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290 : 3,643 = 3,643 : x
  2. Step 2: Convert to fraction form
    2,290/3,643 = 3,643/x
  3. Step 3: Cross multiply
    2,290x = 3,643 × 3,643
  4. Step 4: Simplify right side
    2,290x = 13,271,449
  5. Step 5: Solve for x
    x = 13,271,449/2,290
  6. Step 6: Final answer
    x = 5,795.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.