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Finding the Third Proportional to 9,761 and 20,737

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Solution

The third proportional to 9,761 and 20,737 is: 44,055.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761 : 20,737 = 20,737 : x
  2. Step 2: Convert to fraction form
    9,761/20,737 = 20,737/x
  3. Step 3: Cross multiply
    9,761x = 20,737 × 20,737
  4. Step 4: Simplify right side
    9,761x = 430,023,169
  5. Step 5: Solve for x
    x = 430,023,169/9,761
  6. Step 6: Final answer
    x = 44,055.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.