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Finding the Third Proportional to 19,924 and 26,184

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Solution

The third proportional to 19,924 and 26,184 is: 34,410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,924 : 26,184 = 26,184 : x
  2. Step 2: Convert to fraction form
    19,924/26,184 = 26,184/x
  3. Step 3: Cross multiply
    19,924x = 26,184 × 26,184
  4. Step 4: Simplify right side
    19,924x = 685,601,856
  5. Step 5: Solve for x
    x = 685,601,856/19,924
  6. Step 6: Final answer
    x = 34,410.85

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.