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Finding the Third Proportional to 32,953.50 and 36,024.75

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Solution

The third proportional to 32,953.50 and 36,024.75 is: 39,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,953.50 : 36,024.75 = 36,024.75 : x
  2. Step 2: Convert to fraction form
    32,953.50/36,024.75 = 36,024.75/x
  3. Step 3: Cross multiply
    32,953.50x = 36,024.75 × 36,024.75
  4. Step 4: Simplify right side
    32,953.50x = 1,297,782,612.56
  5. Step 5: Solve for x
    x = 1,297,782,612.56/32,953.50
  6. Step 6: Final answer
    x = 39,382.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.