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Finding the Third Proportional to 4,539.16 and 9,795.30

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Solution

The third proportional to 4,539.16 and 9,795.30 is: 21,137.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,539.16 : 9,795.30 = 9,795.30 : x
  2. Step 2: Convert to fraction form
    4,539.16/9,795.30 = 9,795.30/x
  3. Step 3: Cross multiply
    4,539.16x = 9,795.30 × 9,795.30
  4. Step 4: Simplify right side
    4,539.16x = 95,947,993.92
  5. Step 5: Solve for x
    x = 95,947,993.92/4,539.16
  6. Step 6: Final answer
    x = 21,137.81

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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.