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Finding the Third Proportional to 46,015 and 69,254

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Solution

The third proportional to 46,015 and 69,254 is: 104,229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,015 : 69,254 = 69,254 : x
  2. Step 2: Convert to fraction form
    46,015/69,254 = 69,254/x
  3. Step 3: Cross multiply
    46,015x = 69,254 × 69,254
  4. Step 4: Simplify right side
    46,015x = 4,796,116,516
  5. Step 5: Solve for x
    x = 4,796,116,516/46,015
  6. Step 6: Final answer
    x = 104,229.41

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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.