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Finding the Third Proportional to 2,047.36 and 3,087.98

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Solution

The third proportional to 2,047.36 and 3,087.98 is: 4,657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.36 : 3,087.98 = 3,087.98 : x
  2. Step 2: Convert to fraction form
    2,047.36/3,087.98 = 3,087.98/x
  3. Step 3: Cross multiply
    2,047.36x = 3,087.98 × 3,087.98
  4. Step 4: Simplify right side
    2,047.36x = 9,535,647.50
  5. Step 5: Solve for x
    x = 9,535,647.50/2,047.36
  6. Step 6: Final answer
    x = 4,657.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.