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Finding the Third Proportional to 2,138.48 and 3,010.50

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Solution

The third proportional to 2,138.48 and 3,010.50 is: 4,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.48 : 3,010.50 = 3,010.50 : x
  2. Step 2: Convert to fraction form
    2,138.48/3,010.50 = 3,010.50/x
  3. Step 3: Cross multiply
    2,138.48x = 3,010.50 × 3,010.50
  4. Step 4: Simplify right side
    2,138.48x = 9,063,110.25
  5. Step 5: Solve for x
    x = 9,063,110.25/2,138.48
  6. Step 6: Final answer
    x = 4,238.10

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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.