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Finding the Third Proportional to 38,846.25 and 61,418.25

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Solution

The third proportional to 38,846.25 and 61,418.25 is: 97,105.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,846.25 : 61,418.25 = 61,418.25 : x
  2. Step 2: Convert to fraction form
    38,846.25/61,418.25 = 61,418.25/x
  3. Step 3: Cross multiply
    38,846.25x = 61,418.25 × 61,418.25
  4. Step 4: Simplify right side
    38,846.25x = 3,772,201,433.06
  5. Step 5: Solve for x
    x = 3,772,201,433.06/38,846.25
  6. Step 6: Final answer
    x = 97,105.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.