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Finding the Third Proportional to 45,578.95 and 68,998.08

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Solution

The third proportional to 45,578.95 and 68,998.08 is: 104,450.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,578.95 : 68,998.08 = 68,998.08 : x
  2. Step 2: Convert to fraction form
    45,578.95/68,998.08 = 68,998.08/x
  3. Step 3: Cross multiply
    45,578.95x = 68,998.08 × 68,998.08
  4. Step 4: Simplify right side
    45,578.95x = 4,760,734,784.94
  5. Step 5: Solve for x
    x = 4,760,734,784.94/45,578.95
  6. Step 6: Final answer
    x = 104,450.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.