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Finding the Third Proportional to 46,069.38 and 69,429.02

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Solution

The third proportional to 46,069.38 and 69,429.02 is: 104,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,069.38 : 69,429.02 = 69,429.02 : x
  2. Step 2: Convert to fraction form
    46,069.38/69,429.02 = 69,429.02/x
  3. Step 3: Cross multiply
    46,069.38x = 69,429.02 × 69,429.02
  4. Step 4: Simplify right side
    46,069.38x = 4,820,389,295.48
  5. Step 5: Solve for x
    x = 4,820,389,295.48/46,069.38
  6. Step 6: Final answer
    x = 104,633.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.