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Finding the Third Proportional to 36,024.75 and 53,104.50

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Solution

The third proportional to 36,024.75 and 53,104.50 is: 78,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,024.75 : 53,104.50 = 53,104.50 : x
  2. Step 2: Convert to fraction form
    36,024.75/53,104.50 = 53,104.50/x
  3. Step 3: Cross multiply
    36,024.75x = 53,104.50 × 53,104.50
  4. Step 4: Simplify right side
    36,024.75x = 2,820,087,920.25
  5. Step 5: Solve for x
    x = 2,820,087,920.25/36,024.75
  6. Step 6: Final answer
    x = 78,281.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.