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Finding the Third Proportional to 30,845 and 46,495

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Solution

The third proportional to 30,845 and 46,495 is: 70,085.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,845 : 46,495 = 46,495 : x
  2. Step 2: Convert to fraction form
    30,845/46,495 = 46,495/x
  3. Step 3: Cross multiply
    30,845x = 46,495 × 46,495
  4. Step 4: Simplify right side
    30,845x = 2,161,785,025
  5. Step 5: Solve for x
    x = 2,161,785,025/30,845
  6. Step 6: Final answer
    x = 70,085.43

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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.