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Finding the Third Proportional to 9,136.13 and 15,003.56

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Solution

The third proportional to 9,136.13 and 15,003.56 is: 24,639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.13 : 15,003.56 = 15,003.56 : x
  2. Step 2: Convert to fraction form
    9,136.13/15,003.56 = 15,003.56/x
  3. Step 3: Cross multiply
    9,136.13x = 15,003.56 × 15,003.56
  4. Step 4: Simplify right side
    9,136.13x = 225,106,887.69
  5. Step 5: Solve for x
    x = 225,106,887.69/9,136.13
  6. Step 6: Final answer
    x = 24,639.21

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.