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Finding the Third Proportional to 13,578.75 and 28,797.75

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Solution

The third proportional to 13,578.75 and 28,797.75 is: 61,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.75 : 28,797.75 = 28,797.75 : x
  2. Step 2: Convert to fraction form
    13,578.75/28,797.75 = 28,797.75/x
  3. Step 3: Cross multiply
    13,578.75x = 28,797.75 × 28,797.75
  4. Step 4: Simplify right side
    13,578.75x = 829,310,405.06
  5. Step 5: Solve for x
    x = 829,310,405.06/13,578.75
  6. Step 6: Final answer
    x = 61,074.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.