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Finding the Third Proportional to 5,740.88 and 12,453.75

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Solution

The third proportional to 5,740.88 and 12,453.75 is: 27,016.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.88 : 12,453.75 = 12,453.75 : x
  2. Step 2: Convert to fraction form
    5,740.88/12,453.75 = 12,453.75/x
  3. Step 3: Cross multiply
    5,740.88x = 12,453.75 × 12,453.75
  4. Step 4: Simplify right side
    5,740.88x = 155,095,889.06
  5. Step 5: Solve for x
    x = 155,095,889.06/5,740.88
  6. Step 6: Final answer
    x = 27,016.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.