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Finding the Third Proportional to 18,504 and 25,125.75

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Solution

The third proportional to 18,504 and 25,125.75 is: 34,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,504 : 25,125.75 = 25,125.75 : x
  2. Step 2: Convert to fraction form
    18,504/25,125.75 = 25,125.75/x
  3. Step 3: Cross multiply
    18,504x = 25,125.75 × 25,125.75
  4. Step 4: Simplify right side
    18,504x = 631,303,313.06
  5. Step 5: Solve for x
    x = 631,303,313.06/18,504
  6. Step 6: Final answer
    x = 34,117.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.