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Finding the Third Proportional to 32,431 and 43,991

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Solution

The third proportional to 32,431 and 43,991 is: 59,671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,431 : 43,991 = 43,991 : x
  2. Step 2: Convert to fraction form
    32,431/43,991 = 43,991/x
  3. Step 3: Cross multiply
    32,431x = 43,991 × 43,991
  4. Step 4: Simplify right side
    32,431x = 1,935,208,081
  5. Step 5: Solve for x
    x = 1,935,208,081/32,431
  6. Step 6: Final answer
    x = 59,671.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.