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Finding the Third Proportional to 27,822.80 and 65,612.77

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Solution

The third proportional to 27,822.80 and 65,612.77 is: 154,730.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822.80 : 65,612.77 = 65,612.77 : x
  2. Step 2: Convert to fraction form
    27,822.80/65,612.77 = 65,612.77/x
  3. Step 3: Cross multiply
    27,822.80x = 65,612.77 × 65,612.77
  4. Step 4: Simplify right side
    27,822.80x = 4,305,035,012.96
  5. Step 5: Solve for x
    x = 4,305,035,012.96/27,822.80
  6. Step 6: Final answer
    x = 154,730.49

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.