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Finding the Third Proportional to 46,186 and 69,591

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Solution

The third proportional to 46,186 and 69,591 is: 104,856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,186 : 69,591 = 69,591 : x
  2. Step 2: Convert to fraction form
    46,186/69,591 = 69,591/x
  3. Step 3: Cross multiply
    46,186x = 69,591 × 69,591
  4. Step 4: Simplify right side
    46,186x = 4,842,907,281
  5. Step 5: Solve for x
    x = 4,842,907,281/46,186
  6. Step 6: Final answer
    x = 104,856.61

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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.