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Finding the Third Proportional to 11,655 and 24,390

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Solution

The third proportional to 11,655 and 24,390 is: 51,040.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655 : 24,390 = 24,390 : x
  2. Step 2: Convert to fraction form
    11,655/24,390 = 24,390/x
  3. Step 3: Cross multiply
    11,655x = 24,390 × 24,390
  4. Step 4: Simplify right side
    11,655x = 594,872,100
  5. Step 5: Solve for x
    x = 594,872,100/11,655
  6. Step 6: Final answer
    x = 51,040.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.