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Finding the Third Proportional to 14,789 and 35,690

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Solution

The third proportional to 14,789 and 35,690 is: 86,129.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,789 : 35,690 = 35,690 : x
  2. Step 2: Convert to fraction form
    14,789/35,690 = 35,690/x
  3. Step 3: Cross multiply
    14,789x = 35,690 × 35,690
  4. Step 4: Simplify right side
    14,789x = 1,273,776,100
  5. Step 5: Solve for x
    x = 1,273,776,100/14,789
  6. Step 6: Final answer
    x = 86,129.97

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.