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Finding the Third Proportional to 4,245.75 and 5,616.75

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Solution

The third proportional to 4,245.75 and 5,616.75 is: 7,430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,245.75 : 5,616.75 = 5,616.75 : x
  2. Step 2: Convert to fraction form
    4,245.75/5,616.75 = 5,616.75/x
  3. Step 3: Cross multiply
    4,245.75x = 5,616.75 × 5,616.75
  4. Step 4: Simplify right side
    4,245.75x = 31,547,880.56
  5. Step 5: Solve for x
    x = 31,547,880.56/4,245.75
  6. Step 6: Final answer
    x = 7,430.46

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.