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Finding the Third Proportional to 12,237 and 28,180.50

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Solution

The third proportional to 12,237 and 28,180.50 is: 64,896.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237 : 28,180.50 = 28,180.50 : x
  2. Step 2: Convert to fraction form
    12,237/28,180.50 = 28,180.50/x
  3. Step 3: Cross multiply
    12,237x = 28,180.50 × 28,180.50
  4. Step 4: Simplify right side
    12,237x = 794,140,580.25
  5. Step 5: Solve for x
    x = 794,140,580.25/12,237
  6. Step 6: Final answer
    x = 64,896.67

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.