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Finding the Third Proportional to 14,206.13 and 21,741.56

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Solution

The third proportional to 14,206.13 and 21,741.56 is: 33,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.13 : 21,741.56 = 21,741.56 : x
  2. Step 2: Convert to fraction form
    14,206.13/21,741.56 = 21,741.56/x
  3. Step 3: Cross multiply
    14,206.13x = 21,741.56 × 21,741.56
  4. Step 4: Simplify right side
    14,206.13x = 472,695,539.94
  5. Step 5: Solve for x
    x = 472,695,539.94/14,206.13
  6. Step 6: Final answer
    x = 33,274.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.