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Finding the Third Proportional to 48,601.31 and 79,361.63

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Solution

The third proportional to 48,601.31 and 79,361.63 is: 129,590.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,601.31 : 79,361.63 = 79,361.63 : x
  2. Step 2: Convert to fraction form
    48,601.31/79,361.63 = 79,361.63/x
  3. Step 3: Cross multiply
    48,601.31x = 79,361.63 × 79,361.63
  4. Step 4: Simplify right side
    48,601.31x = 6,298,267,522.64
  5. Step 5: Solve for x
    x = 6,298,267,522.64/48,601.31
  6. Step 6: Final answer
    x = 129,590.48

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.