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Finding the Third Proportional to 28,186.50 and 37,071.75

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Solution

The third proportional to 28,186.50 and 37,071.75 is: 48,757.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,186.50 : 37,071.75 = 37,071.75 : x
  2. Step 2: Convert to fraction form
    28,186.50/37,071.75 = 37,071.75/x
  3. Step 3: Cross multiply
    28,186.50x = 37,071.75 × 37,071.75
  4. Step 4: Simplify right side
    28,186.50x = 1,374,314,648.06
  5. Step 5: Solve for x
    x = 1,374,314,648.06/28,186.50
  6. Step 6: Final answer
    x = 48,757.90

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.