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Finding the Third Proportional to 13,851 and 32,008.50

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Solution

The third proportional to 13,851 and 32,008.50 is: 73,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851 : 32,008.50 = 32,008.50 : x
  2. Step 2: Convert to fraction form
    13,851/32,008.50 = 32,008.50/x
  3. Step 3: Cross multiply
    13,851x = 32,008.50 × 32,008.50
  4. Step 4: Simplify right side
    13,851x = 1,024,544,072.25
  5. Step 5: Solve for x
    x = 1,024,544,072.25/13,851
  6. Step 6: Final answer
    x = 73,968.96

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.