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Finding the Third Proportional to 2,130.75 and 2,351.25

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Solution

The third proportional to 2,130.75 and 2,351.25 is: 2,594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.75 : 2,351.25 = 2,351.25 : x
  2. Step 2: Convert to fraction form
    2,130.75/2,351.25 = 2,351.25/x
  3. Step 3: Cross multiply
    2,130.75x = 2,351.25 × 2,351.25
  4. Step 4: Simplify right side
    2,130.75x = 5,528,376.56
  5. Step 5: Solve for x
    x = 5,528,376.56/2,130.75
  6. Step 6: Final answer
    x = 2,594.57

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.