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Finding the Third Proportional to 36,820.20 and 53,792.23

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Solution

The third proportional to 36,820.20 and 53,792.23 is: 78,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,820.20 : 53,792.23 = 53,792.23 : x
  2. Step 2: Convert to fraction form
    36,820.20/53,792.23 = 53,792.23/x
  3. Step 3: Cross multiply
    36,820.20x = 53,792.23 × 53,792.23
  4. Step 4: Simplify right side
    36,820.20x = 2,893,603,638.55
  5. Step 5: Solve for x
    x = 2,893,603,638.55/36,820.20
  6. Step 6: Final answer
    x = 78,587.41

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