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Finding the Third Proportional to 11,476.25 and 24,330

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Solution

The third proportional to 11,476.25 and 24,330 is: 51,580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.25 : 24,330 = 24,330 : x
  2. Step 2: Convert to fraction form
    11,476.25/24,330 = 24,330/x
  3. Step 3: Cross multiply
    11,476.25x = 24,330 × 24,330
  4. Step 4: Simplify right side
    11,476.25x = 591,948,900
  5. Step 5: Solve for x
    x = 591,948,900/11,476.25
  6. Step 6: Final answer
    x = 51,580.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.