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Finding the Third Proportional to 10,904 and 16,310

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Solution

The third proportional to 10,904 and 16,310 is: 24,396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904 : 16,310 = 16,310 : x
  2. Step 2: Convert to fraction form
    10,904/16,310 = 16,310/x
  3. Step 3: Cross multiply
    10,904x = 16,310 × 16,310
  4. Step 4: Simplify right side
    10,904x = 266,016,100
  5. Step 5: Solve for x
    x = 266,016,100/10,904
  6. Step 6: Final answer
    x = 24,396.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.