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Finding the Third Proportional to 9,751.50 and 11,128.50

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Solution

The third proportional to 9,751.50 and 11,128.50 is: 12,699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.50 : 11,128.50 = 11,128.50 : x
  2. Step 2: Convert to fraction form
    9,751.50/11,128.50 = 11,128.50/x
  3. Step 3: Cross multiply
    9,751.50x = 11,128.50 × 11,128.50
  4. Step 4: Simplify right side
    9,751.50x = 123,843,512.25
  5. Step 5: Solve for x
    x = 123,843,512.25/9,751.50
  6. Step 6: Final answer
    x = 12,699.94

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.