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Finding the Third Proportional to 46,302.75 and 69,149.25

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Solution

The third proportional to 46,302.75 and 69,149.25 is: 103,268.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,302.75 : 69,149.25 = 69,149.25 : x
  2. Step 2: Convert to fraction form
    46,302.75/69,149.25 = 69,149.25/x
  3. Step 3: Cross multiply
    46,302.75x = 69,149.25 × 69,149.25
  4. Step 4: Simplify right side
    46,302.75x = 4,781,618,775.56
  5. Step 5: Solve for x
    x = 4,781,618,775.56/46,302.75
  6. Step 6: Final answer
    x = 103,268.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.