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Finding the Third Proportional to 2,075.25 and 2,876.63

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Solution

The third proportional to 2,075.25 and 2,876.63 is: 3,987.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.25 : 2,876.63 = 2,876.63 : x
  2. Step 2: Convert to fraction form
    2,075.25/2,876.63 = 2,876.63/x
  3. Step 3: Cross multiply
    2,075.25x = 2,876.63 × 2,876.63
  4. Step 4: Simplify right side
    2,075.25x = 8,274,971.39
  5. Step 5: Solve for x
    x = 8,274,971.39/2,075.25
  6. Step 6: Final answer
    x = 3,987.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.