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Finding the Third Proportional to 3,734.25 and 6,148.50

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Solution

The third proportional to 3,734.25 and 6,148.50 is: 10,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.25 : 6,148.50 = 6,148.50 : x
  2. Step 2: Convert to fraction form
    3,734.25/6,148.50 = 6,148.50/x
  3. Step 3: Cross multiply
    3,734.25x = 6,148.50 × 6,148.50
  4. Step 4: Simplify right side
    3,734.25x = 37,804,052.25
  5. Step 5: Solve for x
    x = 37,804,052.25/3,734.25
  6. Step 6: Final answer
    x = 10,123.60

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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.