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Finding the Third Proportional to 14,711 and 32,041

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Solution

The third proportional to 14,711 and 32,041 is: 69,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711 : 32,041 = 32,041 : x
  2. Step 2: Convert to fraction form
    14,711/32,041 = 32,041/x
  3. Step 3: Cross multiply
    14,711x = 32,041 × 32,041
  4. Step 4: Simplify right side
    14,711x = 1,026,625,681
  5. Step 5: Solve for x
    x = 1,026,625,681/14,711
  6. Step 6: Final answer
    x = 69,786.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.