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Finding the Third Proportional to 4,120.31 and 6,551.02

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Solution

The third proportional to 4,120.31 and 6,551.02 is: 10,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.31 : 6,551.02 = 6,551.02 : x
  2. Step 2: Convert to fraction form
    4,120.31/6,551.02 = 6,551.02/x
  3. Step 3: Cross multiply
    4,120.31x = 6,551.02 × 6,551.02
  4. Step 4: Simplify right side
    4,120.31x = 42,915,805.72
  5. Step 5: Solve for x
    x = 42,915,805.72/4,120.31
  6. Step 6: Final answer
    x = 10,415.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.