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Finding the Third Proportional to 7,673.48 and 14,978.67

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Solution

The third proportional to 7,673.48 and 14,978.67 is: 29,238.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.48 : 14,978.67 = 14,978.67 : x
  2. Step 2: Convert to fraction form
    7,673.48/14,978.67 = 14,978.67/x
  3. Step 3: Cross multiply
    7,673.48x = 14,978.67 × 14,978.67
  4. Step 4: Simplify right side
    7,673.48x = 224,360,611.14
  5. Step 5: Solve for x
    x = 224,360,611.14/7,673.48
  6. Step 6: Final answer
    x = 29,238.43

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.