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Finding the Third Proportional to 29,091 and 43,596

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Solution

The third proportional to 29,091 and 43,596 is: 65,333.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,091 : 43,596 = 43,596 : x
  2. Step 2: Convert to fraction form
    29,091/43,596 = 43,596/x
  3. Step 3: Cross multiply
    29,091x = 43,596 × 43,596
  4. Step 4: Simplify right side
    29,091x = 1,900,611,216
  5. Step 5: Solve for x
    x = 1,900,611,216/29,091
  6. Step 6: Final answer
    x = 65,333.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.