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Finding the Third Proportional to 2,602 and 4,901

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Solution

The third proportional to 2,602 and 4,901 is: 9,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602 : 4,901 = 4,901 : x
  2. Step 2: Convert to fraction form
    2,602/4,901 = 4,901/x
  3. Step 3: Cross multiply
    2,602x = 4,901 × 4,901
  4. Step 4: Simplify right side
    2,602x = 24,019,801
  5. Step 5: Solve for x
    x = 24,019,801/2,602
  6. Step 6: Final answer
    x = 9,231.28

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.