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Finding the Third Proportional to 9,262 and 13,043

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Solution

The third proportional to 9,262 and 13,043 is: 18,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262 : 13,043 = 13,043 : x
  2. Step 2: Convert to fraction form
    9,262/13,043 = 13,043/x
  3. Step 3: Cross multiply
    9,262x = 13,043 × 13,043
  4. Step 4: Simplify right side
    9,262x = 170,119,849
  5. Step 5: Solve for x
    x = 170,119,849/9,262
  6. Step 6: Final answer
    x = 18,367.51

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.