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Finding the Third Proportional to 13,581.42 and 19,124.86

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Solution

The third proportional to 13,581.42 and 19,124.86 is: 26,930.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,581.42 : 19,124.86 = 19,124.86 : x
  2. Step 2: Convert to fraction form
    13,581.42/19,124.86 = 19,124.86/x
  3. Step 3: Cross multiply
    13,581.42x = 19,124.86 × 19,124.86
  4. Step 4: Simplify right side
    13,581.42x = 365,760,246.11
  5. Step 5: Solve for x
    x = 365,760,246.11/13,581.42
  6. Step 6: Final answer
    x = 26,930.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.