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Finding the Third Proportional to 29,682.84 and 43,731.84

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Solution

The third proportional to 29,682.84 and 43,731.84 is: 64,430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682.84 : 43,731.84 = 43,731.84 : x
  2. Step 2: Convert to fraction form
    29,682.84/43,731.84 = 43,731.84/x
  3. Step 3: Cross multiply
    29,682.84x = 43,731.84 × 43,731.84
  4. Step 4: Simplify right side
    29,682.84x = 1,912,474,157.77
  5. Step 5: Solve for x
    x = 1,912,474,157.77/29,682.84
  6. Step 6: Final answer
    x = 64,430.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.