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Finding the Third Proportional to 46,664 and 67,996

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Solution

The third proportional to 46,664 and 67,996 is: 99,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,664 : 67,996 = 67,996 : x
  2. Step 2: Convert to fraction form
    46,664/67,996 = 67,996/x
  3. Step 3: Cross multiply
    46,664x = 67,996 × 67,996
  4. Step 4: Simplify right side
    46,664x = 4,623,456,016
  5. Step 5: Solve for x
    x = 4,623,456,016/46,664
  6. Step 6: Final answer
    x = 99,079.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.