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Finding the Third Proportional to 21,784 and 46,853

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Solution

The third proportional to 21,784 and 46,853 is: 100,771.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,784 : 46,853 = 46,853 : x
  2. Step 2: Convert to fraction form
    21,784/46,853 = 46,853/x
  3. Step 3: Cross multiply
    21,784x = 46,853 × 46,853
  4. Step 4: Simplify right side
    21,784x = 2,195,203,609
  5. Step 5: Solve for x
    x = 2,195,203,609/21,784
  6. Step 6: Final answer
    x = 100,771.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.