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Finding the Third Proportional to 12,609.42 and 18,265.40

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Solution

The third proportional to 12,609.42 and 18,265.40 is: 26,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.42 : 18,265.40 = 18,265.40 : x
  2. Step 2: Convert to fraction form
    12,609.42/18,265.40 = 18,265.40/x
  3. Step 3: Cross multiply
    12,609.42x = 18,265.40 × 18,265.40
  4. Step 4: Simplify right side
    12,609.42x = 333,624,878.19
  5. Step 5: Solve for x
    x = 333,624,878.19/12,609.42
  6. Step 6: Final answer
    x = 26,458.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.