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Finding the Third Proportional to 16,441.10 and 35,509.64

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Solution

The third proportional to 16,441.10 and 35,509.64 is: 76,694.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,441.10 : 35,509.64 = 35,509.64 : x
  2. Step 2: Convert to fraction form
    16,441.10/35,509.64 = 35,509.64/x
  3. Step 3: Cross multiply
    16,441.10x = 35,509.64 × 35,509.64
  4. Step 4: Simplify right side
    16,441.10x = 1,260,934,577.32
  5. Step 5: Solve for x
    x = 1,260,934,577.32/16,441.10
  6. Step 6: Final answer
    x = 76,694.04

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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.