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Finding the Third Proportional to 14,664 and 34,992

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Solution

The third proportional to 14,664 and 34,992 is: 83,499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,664 : 34,992 = 34,992 : x
  2. Step 2: Convert to fraction form
    14,664/34,992 = 34,992/x
  3. Step 3: Cross multiply
    14,664x = 34,992 × 34,992
  4. Step 4: Simplify right side
    14,664x = 1,224,440,064
  5. Step 5: Solve for x
    x = 1,224,440,064/14,664
  6. Step 6: Final answer
    x = 83,499.73

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.