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Finding the Third Proportional to 11,423.25 and 17,438.63

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Solution

The third proportional to 11,423.25 and 17,438.63 is: 26,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.25 : 17,438.63 = 17,438.63 : x
  2. Step 2: Convert to fraction form
    11,423.25/17,438.63 = 17,438.63/x
  3. Step 3: Cross multiply
    11,423.25x = 17,438.63 × 17,438.63
  4. Step 4: Simplify right side
    11,423.25x = 304,105,641.89
  5. Step 5: Solve for x
    x = 304,105,641.89/11,423.25
  6. Step 6: Final answer
    x = 26,621.64

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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.