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Finding the Third Proportional to 3,470.34 and 7,631.72

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Solution

The third proportional to 3,470.34 and 7,631.72 is: 16,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.34 : 7,631.72 = 7,631.72 : x
  2. Step 2: Convert to fraction form
    3,470.34/7,631.72 = 7,631.72/x
  3. Step 3: Cross multiply
    3,470.34x = 7,631.72 × 7,631.72
  4. Step 4: Simplify right side
    3,470.34x = 58,243,131.08
  5. Step 5: Solve for x
    x = 58,243,131.08/3,470.34
  6. Step 6: Final answer
    x = 16,783.10

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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.