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Finding the Third Proportional to 2,135.50 and 3,014

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Solution

The third proportional to 2,135.50 and 3,014 is: 4,253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.50 : 3,014 = 3,014 : x
  2. Step 2: Convert to fraction form
    2,135.50/3,014 = 3,014/x
  3. Step 3: Cross multiply
    2,135.50x = 3,014 × 3,014
  4. Step 4: Simplify right side
    2,135.50x = 9,084,196
  5. Step 5: Solve for x
    x = 9,084,196/2,135.50
  6. Step 6: Final answer
    x = 4,253.90

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.