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Finding the Third Proportional to 46,014.75 and 69,022.13

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Solution

The third proportional to 46,014.75 and 69,022.13 is: 103,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,014.75 : 69,022.13 = 69,022.13 : x
  2. Step 2: Convert to fraction form
    46,014.75/69,022.13 = 69,022.13/x
  3. Step 3: Cross multiply
    46,014.75x = 69,022.13 × 69,022.13
  4. Step 4: Simplify right side
    46,014.75x = 4,764,053,739.52
  5. Step 5: Solve for x
    x = 4,764,053,739.52/46,014.75
  6. Step 6: Final answer
    x = 103,533.19

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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.