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Finding the Third Proportional to 11,977.50 and 25,195

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Solution

The third proportional to 11,977.50 and 25,195 is: 52,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.50 : 25,195 = 25,195 : x
  2. Step 2: Convert to fraction form
    11,977.50/25,195 = 25,195/x
  3. Step 3: Cross multiply
    11,977.50x = 25,195 × 25,195
  4. Step 4: Simplify right side
    11,977.50x = 634,788,025
  5. Step 5: Solve for x
    x = 634,788,025/11,977.50
  6. Step 6: Final answer
    x = 52,998.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.