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Finding the Third Proportional to 45,825.19 and 68,478.19

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Solution

The third proportional to 45,825.19 and 68,478.19 is: 102,329.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,825.19 : 68,478.19 = 68,478.19 : x
  2. Step 2: Convert to fraction form
    45,825.19/68,478.19 = 68,478.19/x
  3. Step 3: Cross multiply
    45,825.19x = 68,478.19 × 68,478.19
  4. Step 4: Simplify right side
    45,825.19x = 4,689,262,163.29
  5. Step 5: Solve for x
    x = 4,689,262,163.29/45,825.19
  6. Step 6: Final answer
    x = 102,329.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.