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Finding the Third Proportional to 8,308.50 and 11,192.25

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Solution

The third proportional to 8,308.50 and 11,192.25 is: 15,076.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.50 : 11,192.25 = 11,192.25 : x
  2. Step 2: Convert to fraction form
    8,308.50/11,192.25 = 11,192.25/x
  3. Step 3: Cross multiply
    8,308.50x = 11,192.25 × 11,192.25
  4. Step 4: Simplify right side
    8,308.50x = 125,266,460.06
  5. Step 5: Solve for x
    x = 125,266,460.06/8,308.50
  6. Step 6: Final answer
    x = 15,076.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.