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Finding the Third Proportional to 14,491.13 and 30,538.69

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Solution

The third proportional to 14,491.13 and 30,538.69 is: 64,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.13 : 30,538.69 = 30,538.69 : x
  2. Step 2: Convert to fraction form
    14,491.13/30,538.69 = 30,538.69/x
  3. Step 3: Cross multiply
    14,491.13x = 30,538.69 × 30,538.69
  4. Step 4: Simplify right side
    14,491.13x = 932,611,434.22
  5. Step 5: Solve for x
    x = 932,611,434.22/14,491.13
  6. Step 6: Final answer
    x = 64,357.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.