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Finding the Third Proportional to 3,774.94 and 6,239.53

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Solution

The third proportional to 3,774.94 and 6,239.53 is: 10,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.94 : 6,239.53 = 6,239.53 : x
  2. Step 2: Convert to fraction form
    3,774.94/6,239.53 = 6,239.53/x
  3. Step 3: Cross multiply
    3,774.94x = 6,239.53 × 6,239.53
  4. Step 4: Simplify right side
    3,774.94x = 38,931,750.22
  5. Step 5: Solve for x
    x = 38,931,750.22/3,774.94
  6. Step 6: Final answer
    x = 10,313.22

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.