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Finding the Third Proportional to 13,225.50 and 18,186.75

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Solution

The third proportional to 13,225.50 and 18,186.75 is: 25,009.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.50 : 18,186.75 = 18,186.75 : x
  2. Step 2: Convert to fraction form
    13,225.50/18,186.75 = 18,186.75/x
  3. Step 3: Cross multiply
    13,225.50x = 18,186.75 × 18,186.75
  4. Step 4: Simplify right side
    13,225.50x = 330,757,875.56
  5. Step 5: Solve for x
    x = 330,757,875.56/13,225.50
  6. Step 6: Final answer
    x = 25,009.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.