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Finding the Third Proportional to 36,021.75 and 52,864.50

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Solution

The third proportional to 36,021.75 and 52,864.50 is: 77,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,021.75 : 52,864.50 = 52,864.50 : x
  2. Step 2: Convert to fraction form
    36,021.75/52,864.50 = 52,864.50/x
  3. Step 3: Cross multiply
    36,021.75x = 52,864.50 × 52,864.50
  4. Step 4: Simplify right side
    36,021.75x = 2,794,655,360.25
  5. Step 5: Solve for x
    x = 2,794,655,360.25/36,021.75
  6. Step 6: Final answer
    x = 77,582.44

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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.