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Finding the Third Proportional to 2,895.75 and 4,509.42

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Solution

The third proportional to 2,895.75 and 4,509.42 is: 7,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.75 : 4,509.42 = 4,509.42 : x
  2. Step 2: Convert to fraction form
    2,895.75/4,509.42 = 4,509.42/x
  3. Step 3: Cross multiply
    2,895.75x = 4,509.42 × 4,509.42
  4. Step 4: Simplify right side
    2,895.75x = 20,334,885.65
  5. Step 5: Solve for x
    x = 20,334,885.65/2,895.75
  6. Step 6: Final answer
    x = 7,022.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.