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Finding the Third Proportional to 46,302 and 71,673

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Solution

The third proportional to 46,302 and 71,673 is: 110,945.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,302 : 71,673 = 71,673 : x
  2. Step 2: Convert to fraction form
    46,302/71,673 = 71,673/x
  3. Step 3: Cross multiply
    46,302x = 71,673 × 71,673
  4. Step 4: Simplify right side
    46,302x = 5,137,018,929
  5. Step 5: Solve for x
    x = 5,137,018,929/46,302
  6. Step 6: Final answer
    x = 110,945.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.