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Finding the Third Proportional to 46,037.25 and 69,226.88

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Solution

The third proportional to 46,037.25 and 69,226.88 is: 104,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,037.25 : 69,226.88 = 69,226.88 : x
  2. Step 2: Convert to fraction form
    46,037.25/69,226.88 = 69,226.88/x
  3. Step 3: Cross multiply
    46,037.25x = 69,226.88 × 69,226.88
  4. Step 4: Simplify right side
    46,037.25x = 4,792,360,222.27
  5. Step 5: Solve for x
    x = 4,792,360,222.27/46,037.25
  6. Step 6: Final answer
    x = 104,097.45

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Why These Related Problems?

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