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Finding the Third Proportional to 11,420 and 24,896

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Solution

The third proportional to 11,420 and 24,896 is: 54,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420 : 24,896 = 24,896 : x
  2. Step 2: Convert to fraction form
    11,420/24,896 = 24,896/x
  3. Step 3: Cross multiply
    11,420x = 24,896 × 24,896
  4. Step 4: Simplify right side
    11,420x = 619,810,816
  5. Step 5: Solve for x
    x = 619,810,816/11,420
  6. Step 6: Final answer
    x = 54,274.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.