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Finding the Third Proportional to 8,257.50 and 11,828.25

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Solution

The third proportional to 8,257.50 and 11,828.25 is: 16,943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.50 : 11,828.25 = 11,828.25 : x
  2. Step 2: Convert to fraction form
    8,257.50/11,828.25 = 11,828.25/x
  3. Step 3: Cross multiply
    8,257.50x = 11,828.25 × 11,828.25
  4. Step 4: Simplify right side
    8,257.50x = 139,907,498.06
  5. Step 5: Solve for x
    x = 139,907,498.06/8,257.50
  6. Step 6: Final answer
    x = 16,943.08

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1.5x scale

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.