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Finding the Third Proportional to 3,741 and 6,124.50

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Solution

The third proportional to 3,741 and 6,124.50 is: 10,026.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741 : 6,124.50 = 6,124.50 : x
  2. Step 2: Convert to fraction form
    3,741/6,124.50 = 6,124.50/x
  3. Step 3: Cross multiply
    3,741x = 6,124.50 × 6,124.50
  4. Step 4: Simplify right side
    3,741x = 37,509,500.25
  5. Step 5: Solve for x
    x = 37,509,500.25/3,741
  6. Step 6: Final answer
    x = 10,026.60

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.