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Finding the Third Proportional to 1,263.09 and 2,768.55

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Solution

The third proportional to 1,263.09 and 2,768.55 is: 6,068.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.09 : 2,768.55 = 2,768.55 : x
  2. Step 2: Convert to fraction form
    1,263.09/2,768.55 = 2,768.55/x
  3. Step 3: Cross multiply
    1,263.09x = 2,768.55 × 2,768.55
  4. Step 4: Simplify right side
    1,263.09x = 7,664,895.06
  5. Step 5: Solve for x
    x = 7,664,895.06/1,263.09
  6. Step 6: Final answer
    x = 6,068.35

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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.