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Finding the Third Proportional to 19,761 and 29,733

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Solution

The third proportional to 19,761 and 29,733 is: 44,737.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,761 : 29,733 = 29,733 : x
  2. Step 2: Convert to fraction form
    19,761/29,733 = 29,733/x
  3. Step 3: Cross multiply
    19,761x = 29,733 × 29,733
  4. Step 4: Simplify right side
    19,761x = 884,051,289
  5. Step 5: Solve for x
    x = 884,051,289/19,761
  6. Step 6: Final answer
    x = 44,737.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.