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Finding the Third Proportional to 13,784 and 21,305

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Solution

The third proportional to 13,784 and 21,305 is: 32,929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784 : 21,305 = 21,305 : x
  2. Step 2: Convert to fraction form
    13,784/21,305 = 21,305/x
  3. Step 3: Cross multiply
    13,784x = 21,305 × 21,305
  4. Step 4: Simplify right side
    13,784x = 453,903,025
  5. Step 5: Solve for x
    x = 453,903,025/13,784
  6. Step 6: Final answer
    x = 32,929.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.