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Finding the Third Proportional to 48,026.25 and 76,362.75

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Solution

The third proportional to 48,026.25 and 76,362.75 is: 121,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,026.25 : 76,362.75 = 76,362.75 : x
  2. Step 2: Convert to fraction form
    48,026.25/76,362.75 = 76,362.75/x
  3. Step 3: Cross multiply
    48,026.25x = 76,362.75 × 76,362.75
  4. Step 4: Simplify right side
    48,026.25x = 5,831,269,587.56
  5. Step 5: Solve for x
    x = 5,831,269,587.56/48,026.25
  6. Step 6: Final answer
    x = 121,418.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.