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Finding the Third Proportional to 46,038.50 and 69,228.50

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Solution

The third proportional to 46,038.50 and 69,228.50 is: 104,099.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,038.50 : 69,228.50 = 69,228.50 : x
  2. Step 2: Convert to fraction form
    46,038.50/69,228.50 = 69,228.50/x
  3. Step 3: Cross multiply
    46,038.50x = 69,228.50 × 69,228.50
  4. Step 4: Simplify right side
    46,038.50x = 4,792,585,212.25
  5. Step 5: Solve for x
    x = 4,792,585,212.25/46,038.50
  6. Step 6: Final answer
    x = 104,099.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.