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Finding the Third Proportional to 9,852 and 13,550

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Solution

The third proportional to 9,852 and 13,550 is: 18,636.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852 : 13,550 = 13,550 : x
  2. Step 2: Convert to fraction form
    9,852/13,550 = 13,550/x
  3. Step 3: Cross multiply
    9,852x = 13,550 × 13,550
  4. Step 4: Simplify right side
    9,852x = 183,602,500
  5. Step 5: Solve for x
    x = 183,602,500/9,852
  6. Step 6: Final answer
    x = 18,636.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.