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Finding the Third Proportional to 19,514 and 43,408

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Solution

The third proportional to 19,514 and 43,408 is: 96,559.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,514 : 43,408 = 43,408 : x
  2. Step 2: Convert to fraction form
    19,514/43,408 = 43,408/x
  3. Step 3: Cross multiply
    19,514x = 43,408 × 43,408
  4. Step 4: Simplify right side
    19,514x = 1,884,254,464
  5. Step 5: Solve for x
    x = 1,884,254,464/19,514
  6. Step 6: Final answer
    x = 96,559.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.