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Finding the Third Proportional to 48,107.25 and 69,653.25

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Solution

The third proportional to 48,107.25 and 69,653.25 is: 100,849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,107.25 : 69,653.25 = 69,653.25 : x
  2. Step 2: Convert to fraction form
    48,107.25/69,653.25 = 69,653.25/x
  3. Step 3: Cross multiply
    48,107.25x = 69,653.25 × 69,653.25
  4. Step 4: Simplify right side
    48,107.25x = 4,851,575,235.56
  5. Step 5: Solve for x
    x = 4,851,575,235.56/48,107.25
  6. Step 6: Final answer
    x = 100,849.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.