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Finding the Third Proportional to 19,834 and 29,006

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Solution

The third proportional to 19,834 and 29,006 is: 42,419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,834 : 29,006 = 29,006 : x
  2. Step 2: Convert to fraction form
    19,834/29,006 = 29,006/x
  3. Step 3: Cross multiply
    19,834x = 29,006 × 29,006
  4. Step 4: Simplify right side
    19,834x = 841,348,036
  5. Step 5: Solve for x
    x = 841,348,036/19,834
  6. Step 6: Final answer
    x = 42,419.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.