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Finding the Third Proportional to 19,342 and 29,005

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Solution

The third proportional to 19,342 and 29,005 is: 43,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,342 : 29,005 = 29,005 : x
  2. Step 2: Convert to fraction form
    19,342/29,005 = 29,005/x
  3. Step 3: Cross multiply
    19,342x = 29,005 × 29,005
  4. Step 4: Simplify right side
    19,342x = 841,290,025
  5. Step 5: Solve for x
    x = 841,290,025/19,342
  6. Step 6: Final answer
    x = 43,495.50

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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.