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Finding the Third Proportional to 5,652 and 13,602

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Solution

The third proportional to 5,652 and 13,602 is: 32,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652 : 13,602 = 13,602 : x
  2. Step 2: Convert to fraction form
    5,652/13,602 = 13,602/x
  3. Step 3: Cross multiply
    5,652x = 13,602 × 13,602
  4. Step 4: Simplify right side
    5,652x = 185,014,404
  5. Step 5: Solve for x
    x = 185,014,404/5,652
  6. Step 6: Final answer
    x = 32,734.32

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.