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Finding the Third Proportional to 19,577 and 41,924

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Solution

The third proportional to 19,577 and 41,924 is: 89,779.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,577 : 41,924 = 41,924 : x
  2. Step 2: Convert to fraction form
    19,577/41,924 = 41,924/x
  3. Step 3: Cross multiply
    19,577x = 41,924 × 41,924
  4. Step 4: Simplify right side
    19,577x = 1,757,621,776
  5. Step 5: Solve for x
    x = 1,757,621,776/19,577
  6. Step 6: Final answer
    x = 89,779.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.