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Finding the Third Proportional to 9,136.13 and 13,655.25

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Solution

The third proportional to 9,136.13 and 13,655.25 is: 20,409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.13 : 13,655.25 = 13,655.25 : x
  2. Step 2: Convert to fraction form
    9,136.13/13,655.25 = 13,655.25/x
  3. Step 3: Cross multiply
    9,136.13x = 13,655.25 × 13,655.25
  4. Step 4: Simplify right side
    9,136.13x = 186,465,852.56
  5. Step 5: Solve for x
    x = 186,465,852.56/9,136.13
  6. Step 6: Final answer
    x = 20,409.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.