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Finding the Third Proportional to 10,727.44 and 16,409.81

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Solution

The third proportional to 10,727.44 and 16,409.81 is: 25,102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.44 : 16,409.81 = 16,409.81 : x
  2. Step 2: Convert to fraction form
    10,727.44/16,409.81 = 16,409.81/x
  3. Step 3: Cross multiply
    10,727.44x = 16,409.81 × 16,409.81
  4. Step 4: Simplify right side
    10,727.44x = 269,281,946.29
  5. Step 5: Solve for x
    x = 269,281,946.29/10,727.44
  6. Step 6: Final answer
    x = 25,102.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.