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Finding the Third Proportional to 9,089.44 and 13,334.91

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Solution

The third proportional to 9,089.44 and 13,334.91 is: 19,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.44 : 13,334.91 = 13,334.91 : x
  2. Step 2: Convert to fraction form
    9,089.44/13,334.91 = 13,334.91/x
  3. Step 3: Cross multiply
    9,089.44x = 13,334.91 × 13,334.91
  4. Step 4: Simplify right side
    9,089.44x = 177,819,724.70
  5. Step 5: Solve for x
    x = 177,819,724.70/9,089.44
  6. Step 6: Final answer
    x = 19,563.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.