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Finding the Third Proportional to 19,848 and 29,224

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Solution

The third proportional to 19,848 and 29,224 is: 43,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,848 : 29,224 = 29,224 : x
  2. Step 2: Convert to fraction form
    19,848/29,224 = 29,224/x
  3. Step 3: Cross multiply
    19,848x = 29,224 × 29,224
  4. Step 4: Simplify right side
    19,848x = 854,042,176
  5. Step 5: Solve for x
    x = 854,042,176/19,848
  6. Step 6: Final answer
    x = 43,029.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.