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Finding the Third Proportional to 13,136.06 and 19,707.19

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Solution

The third proportional to 13,136.06 and 19,707.19 is: 29,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136.06 : 19,707.19 = 19,707.19 : x
  2. Step 2: Convert to fraction form
    13,136.06/19,707.19 = 19,707.19/x
  3. Step 3: Cross multiply
    13,136.06x = 19,707.19 × 19,707.19
  4. Step 4: Simplify right side
    13,136.06x = 388,373,239.16
  5. Step 5: Solve for x
    x = 388,373,239.16/13,136.06
  6. Step 6: Final answer
    x = 29,565.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.