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Finding the Third Proportional to 2,541.75 and 3,839.63

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Solution

The third proportional to 2,541.75 and 3,839.63 is: 5,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.75 : 3,839.63 = 3,839.63 : x
  2. Step 2: Convert to fraction form
    2,541.75/3,839.63 = 3,839.63/x
  3. Step 3: Cross multiply
    2,541.75x = 3,839.63 × 3,839.63
  4. Step 4: Simplify right side
    2,541.75x = 14,742,720.14
  5. Step 5: Solve for x
    x = 14,742,720.14/2,541.75
  6. Step 6: Final answer
    x = 5,800.22

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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.