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Finding the Third Proportional to 19,467 and 40,878

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Solution

The third proportional to 19,467 and 40,878 is: 85,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,467 : 40,878 = 40,878 : x
  2. Step 2: Convert to fraction form
    19,467/40,878 = 40,878/x
  3. Step 3: Cross multiply
    19,467x = 40,878 × 40,878
  4. Step 4: Simplify right side
    19,467x = 1,671,010,884
  5. Step 5: Solve for x
    x = 1,671,010,884/19,467
  6. Step 6: Final answer
    x = 85,838.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.