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Finding the Third Proportional to 2,298 and 3,403

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Solution

The third proportional to 2,298 and 3,403 is: 5,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298 : 3,403 = 3,403 : x
  2. Step 2: Convert to fraction form
    2,298/3,403 = 3,403/x
  3. Step 3: Cross multiply
    2,298x = 3,403 × 3,403
  4. Step 4: Simplify right side
    2,298x = 11,580,409
  5. Step 5: Solve for x
    x = 11,580,409/2,298
  6. Step 6: Final answer
    x = 5,039.34

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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.