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Finding the Third Proportional to 2,130.75 and 4,673.25

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Solution

The third proportional to 2,130.75 and 4,673.25 is: 10,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.75 : 4,673.25 = 4,673.25 : x
  2. Step 2: Convert to fraction form
    2,130.75/4,673.25 = 4,673.25/x
  3. Step 3: Cross multiply
    2,130.75x = 4,673.25 × 4,673.25
  4. Step 4: Simplify right side
    2,130.75x = 21,839,265.56
  5. Step 5: Solve for x
    x = 21,839,265.56/2,130.75
  6. Step 6: Final answer
    x = 10,249.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.