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Finding the Third Proportional to 11,493.56 and 19,423.13

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Solution

The third proportional to 11,493.56 and 19,423.13 is: 32,823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.56 : 19,423.13 = 19,423.13 : x
  2. Step 2: Convert to fraction form
    11,493.56/19,423.13 = 19,423.13/x
  3. Step 3: Cross multiply
    11,493.56x = 19,423.13 × 19,423.13
  4. Step 4: Simplify right side
    11,493.56x = 377,257,784.77
  5. Step 5: Solve for x
    x = 377,257,784.77/11,493.56
  6. Step 6: Final answer
    x = 32,823.40

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.