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Finding the Third Proportional to 21,461 and 47,530

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Solution

The third proportional to 21,461 and 47,530 is: 105,265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461 : 47,530 = 47,530 : x
  2. Step 2: Convert to fraction form
    21,461/47,530 = 47,530/x
  3. Step 3: Cross multiply
    21,461x = 47,530 × 47,530
  4. Step 4: Simplify right side
    21,461x = 2,259,100,900
  5. Step 5: Solve for x
    x = 2,259,100,900/21,461
  6. Step 6: Final answer
    x = 105,265.41

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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.