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Finding the Third Proportional to 23,203 and 36,015

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Solution

The third proportional to 23,203 and 36,015 is: 55,901.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203 : 36,015 = 36,015 : x
  2. Step 2: Convert to fraction form
    23,203/36,015 = 36,015/x
  3. Step 3: Cross multiply
    23,203x = 36,015 × 36,015
  4. Step 4: Simplify right side
    23,203x = 1,297,080,225
  5. Step 5: Solve for x
    x = 1,297,080,225/23,203
  6. Step 6: Final answer
    x = 55,901.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.