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Finding the Third Proportional to 46,688 and 69,867

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Solution

The third proportional to 46,688 and 69,867 is: 104,553.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,688 : 69,867 = 69,867 : x
  2. Step 2: Convert to fraction form
    46,688/69,867 = 69,867/x
  3. Step 3: Cross multiply
    46,688x = 69,867 × 69,867
  4. Step 4: Simplify right side
    46,688x = 4,881,397,689
  5. Step 5: Solve for x
    x = 4,881,397,689/46,688
  6. Step 6: Final answer
    x = 104,553.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.