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Finding the Third Proportional to 8,036 and 10,458

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Solution

The third proportional to 8,036 and 10,458 is: 13,609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,036 : 10,458 = 10,458 : x
  2. Step 2: Convert to fraction form
    8,036/10,458 = 10,458/x
  3. Step 3: Cross multiply
    8,036x = 10,458 × 10,458
  4. Step 4: Simplify right side
    8,036x = 109,369,764
  5. Step 5: Solve for x
    x = 109,369,764/8,036
  6. Step 6: Final answer
    x = 13,609.98

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.