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Finding the Third Proportional to 11,658 and 24,396

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Solution

The third proportional to 11,658 and 24,396 is: 51,052.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658 : 24,396 = 24,396 : x
  2. Step 2: Convert to fraction form
    11,658/24,396 = 24,396/x
  3. Step 3: Cross multiply
    11,658x = 24,396 × 24,396
  4. Step 4: Simplify right side
    11,658x = 595,164,816
  5. Step 5: Solve for x
    x = 595,164,816/11,658
  6. Step 6: Final answer
    x = 51,052.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.