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Finding the Third Proportional to 3,980.53 and 8,609.63

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Solution

The third proportional to 3,980.53 and 8,609.63 is: 18,622.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.53 : 8,609.63 = 8,609.63 : x
  2. Step 2: Convert to fraction form
    3,980.53/8,609.63 = 8,609.63/x
  3. Step 3: Cross multiply
    3,980.53x = 8,609.63 × 8,609.63
  4. Step 4: Simplify right side
    3,980.53x = 74,125,642.64
  5. Step 5: Solve for x
    x = 74,125,642.64/3,980.53
  6. Step 6: Final answer
    x = 18,622.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.