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Finding the Third Proportional to 2,497.50 and 3,919.50

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Solution

The third proportional to 2,497.50 and 3,919.50 is: 6,151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.50 : 3,919.50 = 3,919.50 : x
  2. Step 2: Convert to fraction form
    2,497.50/3,919.50 = 3,919.50/x
  3. Step 3: Cross multiply
    2,497.50x = 3,919.50 × 3,919.50
  4. Step 4: Simplify right side
    2,497.50x = 15,362,480.25
  5. Step 5: Solve for x
    x = 15,362,480.25/2,497.50
  6. Step 6: Final answer
    x = 6,151.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.