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Finding the Third Proportional to 19,417 and 29,144

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Solution

The third proportional to 19,417 and 29,144 is: 43,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,417 : 29,144 = 29,144 : x
  2. Step 2: Convert to fraction form
    19,417/29,144 = 29,144/x
  3. Step 3: Cross multiply
    19,417x = 29,144 × 29,144
  4. Step 4: Simplify right side
    19,417x = 849,372,736
  5. Step 5: Solve for x
    x = 849,372,736/19,417
  6. Step 6: Final answer
    x = 43,743.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.