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Finding the Third Proportional to 2,566.50 and 4,263.75

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Solution

The third proportional to 2,566.50 and 4,263.75 is: 7,083.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.50 : 4,263.75 = 4,263.75 : x
  2. Step 2: Convert to fraction form
    2,566.50/4,263.75 = 4,263.75/x
  3. Step 3: Cross multiply
    2,566.50x = 4,263.75 × 4,263.75
  4. Step 4: Simplify right side
    2,566.50x = 18,179,564.06
  5. Step 5: Solve for x
    x = 18,179,564.06/2,566.50
  6. Step 6: Final answer
    x = 7,083.41

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.