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Finding the Third Proportional to 19,924 and 29,769

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Solution

The third proportional to 19,924 and 29,769 is: 44,478.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,924 : 29,769 = 29,769 : x
  2. Step 2: Convert to fraction form
    19,924/29,769 = 29,769/x
  3. Step 3: Cross multiply
    19,924x = 29,769 × 29,769
  4. Step 4: Simplify right side
    19,924x = 886,193,361
  5. Step 5: Solve for x
    x = 886,193,361/19,924
  6. Step 6: Final answer
    x = 44,478.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.