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Finding the Third Proportional to 11,423.25 and 17,039.81

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Solution

The third proportional to 11,423.25 and 17,039.81 is: 25,417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.25 : 17,039.81 = 17,039.81 : x
  2. Step 2: Convert to fraction form
    11,423.25/17,039.81 = 17,039.81/x
  3. Step 3: Cross multiply
    11,423.25x = 17,039.81 × 17,039.81
  4. Step 4: Simplify right side
    11,423.25x = 290,355,210.04
  5. Step 5: Solve for x
    x = 290,355,210.04/11,423.25
  6. Step 6: Final answer
    x = 25,417.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.