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Finding the Third Proportional to 25,024.50 and 36,213.75

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Solution

The third proportional to 25,024.50 and 36,213.75 is: 52,406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,024.50 : 36,213.75 = 36,213.75 : x
  2. Step 2: Convert to fraction form
    25,024.50/36,213.75 = 36,213.75/x
  3. Step 3: Cross multiply
    25,024.50x = 36,213.75 × 36,213.75
  4. Step 4: Simplify right side
    25,024.50x = 1,311,435,689.06
  5. Step 5: Solve for x
    x = 1,311,435,689.06/25,024.50
  6. Step 6: Final answer
    x = 52,406.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.