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Finding the Third Proportional to 15,878 and 23,787

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Solution

The third proportional to 15,878 and 23,787 is: 35,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878 : 23,787 = 23,787 : x
  2. Step 2: Convert to fraction form
    15,878/23,787 = 23,787/x
  3. Step 3: Cross multiply
    15,878x = 23,787 × 23,787
  4. Step 4: Simplify right side
    15,878x = 565,821,369
  5. Step 5: Solve for x
    x = 565,821,369/15,878
  6. Step 6: Final answer
    x = 35,635.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.