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Finding the Third Proportional to 19,350 and 40,878

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Solution

The third proportional to 19,350 and 40,878 is: 86,357.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,350 : 40,878 = 40,878 : x
  2. Step 2: Convert to fraction form
    19,350/40,878 = 40,878/x
  3. Step 3: Cross multiply
    19,350x = 40,878 × 40,878
  4. Step 4: Simplify right side
    19,350x = 1,671,010,884
  5. Step 5: Solve for x
    x = 1,671,010,884/19,350
  6. Step 6: Final answer
    x = 86,357.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.