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Finding the Third Proportional to 2,865.10 and 6,075.12

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Solution

The third proportional to 2,865.10 and 6,075.12 is: 12,881.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.10 : 6,075.12 = 6,075.12 : x
  2. Step 2: Convert to fraction form
    2,865.10/6,075.12 = 6,075.12/x
  3. Step 3: Cross multiply
    2,865.10x = 6,075.12 × 6,075.12
  4. Step 4: Simplify right side
    2,865.10x = 36,907,066.64
  5. Step 5: Solve for x
    x = 36,907,066.64/2,865.10
  6. Step 6: Final answer
    x = 12,881.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.