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Finding the Third Proportional to 11,355 and 24,627

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Solution

The third proportional to 11,355 and 24,627 is: 53,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,355 : 24,627 = 24,627 : x
  2. Step 2: Convert to fraction form
    11,355/24,627 = 24,627/x
  3. Step 3: Cross multiply
    11,355x = 24,627 × 24,627
  4. Step 4: Simplify right side
    11,355x = 606,489,129
  5. Step 5: Solve for x
    x = 606,489,129/11,355
  6. Step 6: Final answer
    x = 53,411.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.