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Finding the Third Proportional to 29,295 and 43,817.63

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Solution

The third proportional to 29,295 and 43,817.63 is: 65,539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,295 : 43,817.63 = 43,817.63 : x
  2. Step 2: Convert to fraction form
    29,295/43,817.63 = 43,817.63/x
  3. Step 3: Cross multiply
    29,295x = 43,817.63 × 43,817.63
  4. Step 4: Simplify right side
    29,295x = 1,919,984,260.64
  5. Step 5: Solve for x
    x = 1,919,984,260.64/29,295
  6. Step 6: Final answer
    x = 65,539.66

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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.