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Finding the Third Proportional to 45,709.50 and 69,447

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Solution

The third proportional to 45,709.50 and 69,447 is: 105,511.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,709.50 : 69,447 = 69,447 : x
  2. Step 2: Convert to fraction form
    45,709.50/69,447 = 69,447/x
  3. Step 3: Cross multiply
    45,709.50x = 69,447 × 69,447
  4. Step 4: Simplify right side
    45,709.50x = 4,822,885,809
  5. Step 5: Solve for x
    x = 4,822,885,809/45,709.50
  6. Step 6: Final answer
    x = 105,511.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.