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Finding the Third Proportional to 19,822.22 and 28,184.20

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Solution

The third proportional to 19,822.22 and 28,184.20 is: 40,073.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,822.22 : 28,184.20 = 28,184.20 : x
  2. Step 2: Convert to fraction form
    19,822.22/28,184.20 = 28,184.20/x
  3. Step 3: Cross multiply
    19,822.22x = 28,184.20 × 28,184.20
  4. Step 4: Simplify right side
    19,822.22x = 794,349,305.79
  5. Step 5: Solve for x
    x = 794,349,305.79/19,822.22
  6. Step 6: Final answer
    x = 40,073.68

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.