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Finding the Third Proportional to 36,990 and 57,964.13

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Solution

The third proportional to 36,990 and 57,964.13 is: 90,831.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,990 : 57,964.13 = 57,964.13 : x
  2. Step 2: Convert to fraction form
    36,990/57,964.13 = 57,964.13/x
  3. Step 3: Cross multiply
    36,990x = 57,964.13 × 57,964.13
  4. Step 4: Simplify right side
    36,990x = 3,359,839,787.02
  5. Step 5: Solve for x
    x = 3,359,839,787.02/36,990
  6. Step 6: Final answer
    x = 90,831.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.