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Finding the Third Proportional to 3,975.75 and 5,564.53

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Solution

The third proportional to 3,975.75 and 5,564.53 is: 7,788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.75 : 5,564.53 = 5,564.53 : x
  2. Step 2: Convert to fraction form
    3,975.75/5,564.53 = 5,564.53/x
  3. Step 3: Cross multiply
    3,975.75x = 5,564.53 × 5,564.53
  4. Step 4: Simplify right side
    3,975.75x = 30,964,008.03
  5. Step 5: Solve for x
    x = 30,964,008.03/3,975.75
  6. Step 6: Final answer
    x = 7,788.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.