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Finding the Third Proportional to 19,346 and 43,424

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Solution

The third proportional to 19,346 and 43,424 is: 97,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,346 : 43,424 = 43,424 : x
  2. Step 2: Convert to fraction form
    19,346/43,424 = 43,424/x
  3. Step 3: Cross multiply
    19,346x = 43,424 × 43,424
  4. Step 4: Simplify right side
    19,346x = 1,885,643,776
  5. Step 5: Solve for x
    x = 1,885,643,776/19,346
  6. Step 6: Final answer
    x = 97,469.44

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.