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Finding the Third Proportional to 19,836 and 29,098

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Solution

The third proportional to 19,836 and 29,098 is: 42,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,836 : 29,098 = 29,098 : x
  2. Step 2: Convert to fraction form
    19,836/29,098 = 29,098/x
  3. Step 3: Cross multiply
    19,836x = 29,098 × 29,098
  4. Step 4: Simplify right side
    19,836x = 846,693,604
  5. Step 5: Solve for x
    x = 846,693,604/19,836
  6. Step 6: Final answer
    x = 42,684.69

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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.