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Finding the Third Proportional to 22,878 and 35,853.75

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Solution

The third proportional to 22,878 and 35,853.75 is: 56,188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,878 : 35,853.75 = 35,853.75 : x
  2. Step 2: Convert to fraction form
    22,878/35,853.75 = 35,853.75/x
  3. Step 3: Cross multiply
    22,878x = 35,853.75 × 35,853.75
  4. Step 4: Simplify right side
    22,878x = 1,285,491,389.06
  5. Step 5: Solve for x
    x = 1,285,491,389.06/22,878
  6. Step 6: Final answer
    x = 56,188.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.