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Finding the Third Proportional to 4,043 and 6,353.50

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Solution

The third proportional to 4,043 and 6,353.50 is: 9,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,043 : 6,353.50 = 6,353.50 : x
  2. Step 2: Convert to fraction form
    4,043/6,353.50 = 6,353.50/x
  3. Step 3: Cross multiply
    4,043x = 6,353.50 × 6,353.50
  4. Step 4: Simplify right side
    4,043x = 40,366,962.25
  5. Step 5: Solve for x
    x = 40,366,962.25/4,043
  6. Step 6: Final answer
    x = 9,984.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.