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Finding the Third Proportional to 13,091.50 and 28,259

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Solution

The third proportional to 13,091.50 and 28,259 is: 60,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091.50 : 28,259 = 28,259 : x
  2. Step 2: Convert to fraction form
    13,091.50/28,259 = 28,259/x
  3. Step 3: Cross multiply
    13,091.50x = 28,259 × 28,259
  4. Step 4: Simplify right side
    13,091.50x = 798,571,081
  5. Step 5: Solve for x
    x = 798,571,081/13,091.50
  6. Step 6: Final answer
    x = 60,999.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.