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Finding the Third Proportional to 2,402 and 5,729

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Solution

The third proportional to 2,402 and 5,729 is: 13,664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402 : 5,729 = 5,729 : x
  2. Step 2: Convert to fraction form
    2,402/5,729 = 5,729/x
  3. Step 3: Cross multiply
    2,402x = 5,729 × 5,729
  4. Step 4: Simplify right side
    2,402x = 32,821,441
  5. Step 5: Solve for x
    x = 32,821,441/2,402
  6. Step 6: Final answer
    x = 13,664.21

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.