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Finding the Third Proportional to 21,602 and 47,740

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Solution

The third proportional to 21,602 and 47,740 is: 105,504.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,602 : 47,740 = 47,740 : x
  2. Step 2: Convert to fraction form
    21,602/47,740 = 47,740/x
  3. Step 3: Cross multiply
    21,602x = 47,740 × 47,740
  4. Step 4: Simplify right side
    21,602x = 2,279,107,600
  5. Step 5: Solve for x
    x = 2,279,107,600/21,602
  6. Step 6: Final answer
    x = 105,504.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.