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Finding the Third Proportional to 35,180 and 46,992

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Solution

The third proportional to 35,180 and 46,992 is: 62,769.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,180 : 46,992 = 46,992 : x
  2. Step 2: Convert to fraction form
    35,180/46,992 = 46,992/x
  3. Step 3: Cross multiply
    35,180x = 46,992 × 46,992
  4. Step 4: Simplify right side
    35,180x = 2,208,248,064
  5. Step 5: Solve for x
    x = 2,208,248,064/35,180
  6. Step 6: Final answer
    x = 62,769.98

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.