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Finding the Third Proportional to 13,702 and 21,784

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Solution

The third proportional to 13,702 and 21,784 is: 34,633.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702 : 21,784 = 21,784 : x
  2. Step 2: Convert to fraction form
    13,702/21,784 = 21,784/x
  3. Step 3: Cross multiply
    13,702x = 21,784 × 21,784
  4. Step 4: Simplify right side
    13,702x = 474,542,656
  5. Step 5: Solve for x
    x = 474,542,656/13,702
  6. Step 6: Final answer
    x = 34,633.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.