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Finding the Third Proportional to 19,838 and 29,213

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Solution

The third proportional to 19,838 and 29,213 is: 43,018.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838 : 29,213 = 29,213 : x
  2. Step 2: Convert to fraction form
    19,838/29,213 = 29,213/x
  3. Step 3: Cross multiply
    19,838x = 29,213 × 29,213
  4. Step 4: Simplify right side
    19,838x = 853,399,369
  5. Step 5: Solve for x
    x = 853,399,369/19,838
  6. Step 6: Final answer
    x = 43,018.42

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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.