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Finding the Third Proportional to 2,396 and 4,810

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Solution

The third proportional to 2,396 and 4,810 is: 9,656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396 : 4,810 = 4,810 : x
  2. Step 2: Convert to fraction form
    2,396/4,810 = 4,810/x
  3. Step 3: Cross multiply
    2,396x = 4,810 × 4,810
  4. Step 4: Simplify right side
    2,396x = 23,136,100
  5. Step 5: Solve for x
    x = 23,136,100/2,396
  6. Step 6: Final answer
    x = 9,656.14

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.