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Finding the Third Proportional to 11,574 and 18,407.25

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Solution

The third proportional to 11,574 and 18,407.25 is: 29,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574 : 18,407.25 = 18,407.25 : x
  2. Step 2: Convert to fraction form
    11,574/18,407.25 = 18,407.25/x
  3. Step 3: Cross multiply
    11,574x = 18,407.25 × 18,407.25
  4. Step 4: Simplify right side
    11,574x = 338,826,852.56
  5. Step 5: Solve for x
    x = 338,826,852.56/11,574
  6. Step 6: Final answer
    x = 29,274.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.