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Finding the Third Proportional to 25,805.25 and 37,712.11

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Solution

The third proportional to 25,805.25 and 37,712.11 is: 55,112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,805.25 : 37,712.11 = 37,712.11 : x
  2. Step 2: Convert to fraction form
    25,805.25/37,712.11 = 37,712.11/x
  3. Step 3: Cross multiply
    25,805.25x = 37,712.11 × 37,712.11
  4. Step 4: Simplify right side
    25,805.25x = 1,422,203,193.51
  5. Step 5: Solve for x
    x = 1,422,203,193.51/25,805.25
  6. Step 6: Final answer
    x = 55,112.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.