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Finding the Third Proportional to 46,239 and 69,845

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Solution

The third proportional to 46,239 and 69,845 is: 105,502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,239 : 69,845 = 69,845 : x
  2. Step 2: Convert to fraction form
    46,239/69,845 = 69,845/x
  3. Step 3: Cross multiply
    46,239x = 69,845 × 69,845
  4. Step 4: Simplify right side
    46,239x = 4,878,324,025
  5. Step 5: Solve for x
    x = 4,878,324,025/46,239
  6. Step 6: Final answer
    x = 105,502.37

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Why These Related Problems?

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