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Finding the Third Proportional to 20,454 and 47,715

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Solution

The third proportional to 20,454 and 47,715 is: 111,309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454 : 47,715 = 47,715 : x
  2. Step 2: Convert to fraction form
    20,454/47,715 = 47,715/x
  3. Step 3: Cross multiply
    20,454x = 47,715 × 47,715
  4. Step 4: Simplify right side
    20,454x = 2,276,721,225
  5. Step 5: Solve for x
    x = 2,276,721,225/20,454
  6. Step 6: Final answer
    x = 111,309.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.