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Finding the Third Proportional to 8,258.63 and 11,772.84

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Solution

The third proportional to 8,258.63 and 11,772.84 is: 16,782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.63 : 11,772.84 = 11,772.84 : x
  2. Step 2: Convert to fraction form
    8,258.63/11,772.84 = 11,772.84/x
  3. Step 3: Cross multiply
    8,258.63x = 11,772.84 × 11,772.84
  4. Step 4: Simplify right side
    8,258.63x = 138,599,849.96
  5. Step 5: Solve for x
    x = 138,599,849.96/8,258.63
  6. Step 6: Final answer
    x = 16,782.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.