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Finding the Third Proportional to 13,004.30 and 19,601.37

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Solution

The third proportional to 13,004.30 and 19,601.37 is: 29,545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.30 : 19,601.37 = 19,601.37 : x
  2. Step 2: Convert to fraction form
    13,004.30/19,601.37 = 19,601.37/x
  3. Step 3: Cross multiply
    13,004.30x = 19,601.37 × 19,601.37
  4. Step 4: Simplify right side
    13,004.30x = 384,213,595.62
  5. Step 5: Solve for x
    x = 384,213,595.62/13,004.30
  6. Step 6: Final answer
    x = 29,545.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.