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Finding the Third Proportional to 19,361 and 42,411

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Solution

The third proportional to 19,361 and 42,411 is: 92,902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,361 : 42,411 = 42,411 : x
  2. Step 2: Convert to fraction form
    19,361/42,411 = 42,411/x
  3. Step 3: Cross multiply
    19,361x = 42,411 × 42,411
  4. Step 4: Simplify right side
    19,361x = 1,798,692,921
  5. Step 5: Solve for x
    x = 1,798,692,921/19,361
  6. Step 6: Final answer
    x = 92,902.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.