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Finding the Third Proportional to 13,719.75 and 32,354.25

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Solution

The third proportional to 13,719.75 and 32,354.25 is: 76,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,719.75 : 32,354.25 = 32,354.25 : x
  2. Step 2: Convert to fraction form
    13,719.75/32,354.25 = 32,354.25/x
  3. Step 3: Cross multiply
    13,719.75x = 32,354.25 × 32,354.25
  4. Step 4: Simplify right side
    13,719.75x = 1,046,797,493.06
  5. Step 5: Solve for x
    x = 1,046,797,493.06/13,719.75
  6. Step 6: Final answer
    x = 76,298.58

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.