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Finding the Third Proportional to 19,413 and 41,370

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Solution

The third proportional to 19,413 and 41,370 is: 88,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,413 : 41,370 = 41,370 : x
  2. Step 2: Convert to fraction form
    19,413/41,370 = 41,370/x
  3. Step 3: Cross multiply
    19,413x = 41,370 × 41,370
  4. Step 4: Simplify right side
    19,413x = 1,711,476,900
  5. Step 5: Solve for x
    x = 1,711,476,900/19,413
  6. Step 6: Final answer
    x = 88,161.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.