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Finding the Third Proportional to 23,878.13 and 36,363.94

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Solution

The third proportional to 23,878.13 and 36,363.94 is: 55,378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878.13 : 36,363.94 = 36,363.94 : x
  2. Step 2: Convert to fraction form
    23,878.13/36,363.94 = 36,363.94/x
  3. Step 3: Cross multiply
    23,878.13x = 36,363.94 × 36,363.94
  4. Step 4: Simplify right side
    23,878.13x = 1,322,335,950.50
  5. Step 5: Solve for x
    x = 1,322,335,950.50/23,878.13
  6. Step 6: Final answer
    x = 55,378.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.