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Finding the Third Proportional to 3,470.34 and 7,630.45

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Solution

The third proportional to 3,470.34 and 7,630.45 is: 16,777.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.34 : 7,630.45 = 7,630.45 : x
  2. Step 2: Convert to fraction form
    3,470.34/7,630.45 = 7,630.45/x
  3. Step 3: Cross multiply
    3,470.34x = 7,630.45 × 7,630.45
  4. Step 4: Simplify right side
    3,470.34x = 58,223,814.89
  5. Step 5: Solve for x
    x = 58,223,814.89/3,470.34
  6. Step 6: Final answer
    x = 16,777.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.