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Finding the Third Proportional to 11,422 and 24,784

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Solution

The third proportional to 11,422 and 24,784 is: 53,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422 : 24,784 = 24,784 : x
  2. Step 2: Convert to fraction form
    11,422/24,784 = 24,784/x
  3. Step 3: Cross multiply
    11,422x = 24,784 × 24,784
  4. Step 4: Simplify right side
    11,422x = 614,246,656
  5. Step 5: Solve for x
    x = 614,246,656/11,422
  6. Step 6: Final answer
    x = 53,777.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.