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Finding the Third Proportional to 13,257.75 and 28,338.75

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Solution

The third proportional to 13,257.75 and 28,338.75 is: 60,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.75 : 28,338.75 = 28,338.75 : x
  2. Step 2: Convert to fraction form
    13,257.75/28,338.75 = 28,338.75/x
  3. Step 3: Cross multiply
    13,257.75x = 28,338.75 × 28,338.75
  4. Step 4: Simplify right side
    13,257.75x = 803,084,751.56
  5. Step 5: Solve for x
    x = 803,084,751.56/13,257.75
  6. Step 6: Final answer
    x = 60,574.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.