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Finding the Third Proportional to 11,680 and 22,784

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Solution

The third proportional to 11,680 and 22,784 is: 44,444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680 : 22,784 = 22,784 : x
  2. Step 2: Convert to fraction form
    11,680/22,784 = 22,784/x
  3. Step 3: Cross multiply
    11,680x = 22,784 × 22,784
  4. Step 4: Simplify right side
    11,680x = 519,110,656
  5. Step 5: Solve for x
    x = 519,110,656/11,680
  6. Step 6: Final answer
    x = 44,444.41

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.