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Finding the Third Proportional to 36,810.50 and 58,380

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Solution

The third proportional to 36,810.50 and 58,380 is: 92,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,810.50 : 58,380 = 58,380 : x
  2. Step 2: Convert to fraction form
    36,810.50/58,380 = 58,380/x
  3. Step 3: Cross multiply
    36,810.50x = 58,380 × 58,380
  4. Step 4: Simplify right side
    36,810.50x = 3,408,224,400
  5. Step 5: Solve for x
    x = 3,408,224,400/36,810.50
  6. Step 6: Final answer
    x = 92,588.38

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.