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Finding the Third Proportional to 9,263.75 and 13,546.25

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Solution

The third proportional to 9,263.75 and 13,546.25 is: 19,808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.75 : 13,546.25 = 13,546.25 : x
  2. Step 2: Convert to fraction form
    9,263.75/13,546.25 = 13,546.25/x
  3. Step 3: Cross multiply
    9,263.75x = 13,546.25 × 13,546.25
  4. Step 4: Simplify right side
    9,263.75x = 183,500,889.06
  5. Step 5: Solve for x
    x = 183,500,889.06/9,263.75
  6. Step 6: Final answer
    x = 19,808.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.