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Finding the Third Proportional to 3,975.75 and 4,325.06

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Solution

The third proportional to 3,975.75 and 4,325.06 is: 4,705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.75 : 4,325.06 = 4,325.06 : x
  2. Step 2: Convert to fraction form
    3,975.75/4,325.06 = 4,325.06/x
  3. Step 3: Cross multiply
    3,975.75x = 4,325.06 × 4,325.06
  4. Step 4: Simplify right side
    3,975.75x = 18,706,165.63
  5. Step 5: Solve for x
    x = 18,706,165.63/3,975.75
  6. Step 6: Final answer
    x = 4,705.07

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.