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Finding the Third Proportional to 19,912 and 29,411

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Solution

The third proportional to 19,912 and 29,411 is: 43,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,912 : 29,411 = 29,411 : x
  2. Step 2: Convert to fraction form
    19,912/29,411 = 29,411/x
  3. Step 3: Cross multiply
    19,912x = 29,411 × 29,411
  4. Step 4: Simplify right side
    19,912x = 865,006,921
  5. Step 5: Solve for x
    x = 865,006,921/19,912
  6. Step 6: Final answer
    x = 43,441.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.