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Finding the Third Proportional to 10,242 and 13,752

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Solution

The third proportional to 10,242 and 13,752 is: 18,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242 : 13,752 = 13,752 : x
  2. Step 2: Convert to fraction form
    10,242/13,752 = 13,752/x
  3. Step 3: Cross multiply
    10,242x = 13,752 × 13,752
  4. Step 4: Simplify right side
    10,242x = 189,117,504
  5. Step 5: Solve for x
    x = 189,117,504/10,242
  6. Step 6: Final answer
    x = 18,464.90

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.