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Finding the Third Proportional to 46,008 and 69,243.75

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Solution

The third proportional to 46,008 and 69,243.75 is: 104,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,008 : 69,243.75 = 69,243.75 : x
  2. Step 2: Convert to fraction form
    46,008/69,243.75 = 69,243.75/x
  3. Step 3: Cross multiply
    46,008x = 69,243.75 × 69,243.75
  4. Step 4: Simplify right side
    46,008x = 4,794,696,914.06
  5. Step 5: Solve for x
    x = 4,794,696,914.06/46,008
  6. Step 6: Final answer
    x = 104,214.42

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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.