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Finding the Third Proportional to 7,651.30 and 11,822.93

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Solution

The third proportional to 7,651.30 and 11,822.93 is: 18,269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651.30 : 11,822.93 = 11,822.93 : x
  2. Step 2: Convert to fraction form
    7,651.30/11,822.93 = 11,822.93/x
  3. Step 3: Cross multiply
    7,651.30x = 11,822.93 × 11,822.93
  4. Step 4: Simplify right side
    7,651.30x = 139,781,787.63
  5. Step 5: Solve for x
    x = 139,781,787.63/7,651.30
  6. Step 6: Final answer
    x = 18,269.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.