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Finding the Third Proportional to 27,905 and 41,854

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Solution

The third proportional to 27,905 and 41,854 is: 62,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,905 : 41,854 = 41,854 : x
  2. Step 2: Convert to fraction form
    27,905/41,854 = 41,854/x
  3. Step 3: Cross multiply
    27,905x = 41,854 × 41,854
  4. Step 4: Simplify right side
    27,905x = 1,751,757,316
  5. Step 5: Solve for x
    x = 1,751,757,316/27,905
  6. Step 6: Final answer
    x = 62,775.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.