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Finding the Third Proportional to 2,413 and 4,969

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Solution

The third proportional to 2,413 and 4,969 is: 10,232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413 : 4,969 = 4,969 : x
  2. Step 2: Convert to fraction form
    2,413/4,969 = 4,969/x
  3. Step 3: Cross multiply
    2,413x = 4,969 × 4,969
  4. Step 4: Simplify right side
    2,413x = 24,690,961
  5. Step 5: Solve for x
    x = 24,690,961/2,413
  6. Step 6: Final answer
    x = 10,232.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.