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Finding the Third Proportional to 36,972 and 55,440

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Solution

The third proportional to 36,972 and 55,440 is: 83,133.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,972 : 55,440 = 55,440 : x
  2. Step 2: Convert to fraction form
    36,972/55,440 = 55,440/x
  3. Step 3: Cross multiply
    36,972x = 55,440 × 55,440
  4. Step 4: Simplify right side
    36,972x = 3,073,593,600
  5. Step 5: Solve for x
    x = 3,073,593,600/36,972
  6. Step 6: Final answer
    x = 83,133.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.