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Finding the Third Proportional to 14,667 and 32,111

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Solution

The third proportional to 14,667 and 32,111 is: 70,301.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,667 : 32,111 = 32,111 : x
  2. Step 2: Convert to fraction form
    14,667/32,111 = 32,111/x
  3. Step 3: Cross multiply
    14,667x = 32,111 × 32,111
  4. Step 4: Simplify right side
    14,667x = 1,031,116,321
  5. Step 5: Solve for x
    x = 1,031,116,321/14,667
  6. Step 6: Final answer
    x = 70,301.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.