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Finding the Third Proportional to 31,454 and 46,593

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Solution

The third proportional to 31,454 and 46,593 is: 69,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,454 : 46,593 = 46,593 : x
  2. Step 2: Convert to fraction form
    31,454/46,593 = 46,593/x
  3. Step 3: Cross multiply
    31,454x = 46,593 × 46,593
  4. Step 4: Simplify right side
    31,454x = 2,170,907,649
  5. Step 5: Solve for x
    x = 2,170,907,649/31,454
  6. Step 6: Final answer
    x = 69,018.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.