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Finding the Third Proportional to 46,240.24 and 69,366.77

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Solution

The third proportional to 46,240.24 and 69,366.77 is: 104,059.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,240.24 : 69,366.77 = 69,366.77 : x
  2. Step 2: Convert to fraction form
    46,240.24/69,366.77 = 69,366.77/x
  3. Step 3: Cross multiply
    46,240.24x = 69,366.77 × 69,366.77
  4. Step 4: Simplify right side
    46,240.24x = 4,811,748,850.68
  5. Step 5: Solve for x
    x = 4,811,748,850.68/46,240.24
  6. Step 6: Final answer
    x = 104,059.77

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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.