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Finding the Third Proportional to 29,370 and 41,868

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Solution

The third proportional to 29,370 and 41,868 is: 59,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,370 : 41,868 = 41,868 : x
  2. Step 2: Convert to fraction form
    29,370/41,868 = 41,868/x
  3. Step 3: Cross multiply
    29,370x = 41,868 × 41,868
  4. Step 4: Simplify right side
    29,370x = 1,752,929,424
  5. Step 5: Solve for x
    x = 1,752,929,424/29,370
  6. Step 6: Final answer
    x = 59,684.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.