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Finding the Third Proportional to 18,775 and 25,124.50

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Solution

The third proportional to 18,775 and 25,124.50 is: 33,621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,775 : 25,124.50 = 25,124.50 : x
  2. Step 2: Convert to fraction form
    18,775/25,124.50 = 25,124.50/x
  3. Step 3: Cross multiply
    18,775x = 25,124.50 × 25,124.50
  4. Step 4: Simplify right side
    18,775x = 631,240,500.25
  5. Step 5: Solve for x
    x = 631,240,500.25/18,775
  6. Step 6: Final answer
    x = 33,621.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.