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Finding the Third Proportional to 21,784 and 47,132

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Solution

The third proportional to 21,784 and 47,132 is: 101,975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,784 : 47,132 = 47,132 : x
  2. Step 2: Convert to fraction form
    21,784/47,132 = 47,132/x
  3. Step 3: Cross multiply
    21,784x = 47,132 × 47,132
  4. Step 4: Simplify right side
    21,784x = 2,221,425,424
  5. Step 5: Solve for x
    x = 2,221,425,424/21,784
  6. Step 6: Final answer
    x = 101,975.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.