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Finding the Third Proportional to 19,652 and 27,784

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Solution

The third proportional to 19,652 and 27,784 is: 39,281.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,652 : 27,784 = 27,784 : x
  2. Step 2: Convert to fraction form
    19,652/27,784 = 27,784/x
  3. Step 3: Cross multiply
    19,652x = 27,784 × 27,784
  4. Step 4: Simplify right side
    19,652x = 771,950,656
  5. Step 5: Solve for x
    x = 771,950,656/19,652
  6. Step 6: Final answer
    x = 39,281.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.