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Finding the Third Proportional to 9,351.75 and 15,584.63

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Solution

The third proportional to 9,351.75 and 15,584.63 is: 25,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.75 : 15,584.63 = 15,584.63 : x
  2. Step 2: Convert to fraction form
    9,351.75/15,584.63 = 15,584.63/x
  3. Step 3: Cross multiply
    9,351.75x = 15,584.63 × 15,584.63
  4. Step 4: Simplify right side
    9,351.75x = 242,880,536.39
  5. Step 5: Solve for x
    x = 242,880,536.39/9,351.75
  6. Step 6: Final answer
    x = 25,971.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.