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Finding the Third Proportional to 13,652 and 29,774.50

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Solution

The third proportional to 13,652 and 29,774.50 is: 64,937.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652 : 29,774.50 = 29,774.50 : x
  2. Step 2: Convert to fraction form
    13,652/29,774.50 = 29,774.50/x
  3. Step 3: Cross multiply
    13,652x = 29,774.50 × 29,774.50
  4. Step 4: Simplify right side
    13,652x = 886,520,850.25
  5. Step 5: Solve for x
    x = 886,520,850.25/13,652
  6. Step 6: Final answer
    x = 64,937.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.