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Finding the Third Proportional to 36,720 and 57,000

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Solution

The third proportional to 36,720 and 57,000 is: 88,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,720 : 57,000 = 57,000 : x
  2. Step 2: Convert to fraction form
    36,720/57,000 = 57,000/x
  3. Step 3: Cross multiply
    36,720x = 57,000 × 57,000
  4. Step 4: Simplify right side
    36,720x = 3,249,000,000
  5. Step 5: Solve for x
    x = 3,249,000,000/36,720
  6. Step 6: Final answer
    x = 88,480.39

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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.