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Finding the Third Proportional to 36,967.50 and 56,822.25

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Solution

The third proportional to 36,967.50 and 56,822.25 is: 87,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,967.50 : 56,822.25 = 56,822.25 : x
  2. Step 2: Convert to fraction form
    36,967.50/56,822.25 = 56,822.25/x
  3. Step 3: Cross multiply
    36,967.50x = 56,822.25 × 56,822.25
  4. Step 4: Simplify right side
    36,967.50x = 3,228,768,095.06
  5. Step 5: Solve for x
    x = 3,228,768,095.06/36,967.50
  6. Step 6: Final answer
    x = 87,340.72

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.