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Finding the Third Proportional to 8,816.34 and 13,258.69

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Solution

The third proportional to 8,816.34 and 13,258.69 is: 19,939.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,816.34 : 13,258.69 = 13,258.69 : x
  2. Step 2: Convert to fraction form
    8,816.34/13,258.69 = 13,258.69/x
  3. Step 3: Cross multiply
    8,816.34x = 13,258.69 × 13,258.69
  4. Step 4: Simplify right side
    8,816.34x = 175,792,794.22
  5. Step 5: Solve for x
    x = 175,792,794.22/8,816.34
  6. Step 6: Final answer
    x = 19,939.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.