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Finding the Third Proportional to 36,996.75 and 54,113.06

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Solution

The third proportional to 36,996.75 and 54,113.06 is: 79,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,996.75 : 54,113.06 = 54,113.06 : x
  2. Step 2: Convert to fraction form
    36,996.75/54,113.06 = 54,113.06/x
  3. Step 3: Cross multiply
    36,996.75x = 54,113.06 × 54,113.06
  4. Step 4: Simplify right side
    36,996.75x = 2,928,223,533.13
  5. Step 5: Solve for x
    x = 2,928,223,533.13/36,996.75
  6. Step 6: Final answer
    x = 79,148.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.