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Finding the Third Proportional to 20,495.25 and 48,362.63

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Solution

The third proportional to 20,495.25 and 48,362.63 is: 114,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,495.25 : 48,362.63 = 48,362.63 : x
  2. Step 2: Convert to fraction form
    20,495.25/48,362.63 = 48,362.63/x
  3. Step 3: Cross multiply
    20,495.25x = 48,362.63 × 48,362.63
  4. Step 4: Simplify right side
    20,495.25x = 2,338,943,496.89
  5. Step 5: Solve for x
    x = 2,338,943,496.89/20,495.25
  6. Step 6: Final answer
    x = 114,121.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.