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Finding the Third Proportional to 43,527 and 58,731

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Solution

The third proportional to 43,527 and 58,731 is: 79,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,527 : 58,731 = 58,731 : x
  2. Step 2: Convert to fraction form
    43,527/58,731 = 58,731/x
  3. Step 3: Cross multiply
    43,527x = 58,731 × 58,731
  4. Step 4: Simplify right side
    43,527x = 3,449,330,361
  5. Step 5: Solve for x
    x = 3,449,330,361/43,527
  6. Step 6: Final answer
    x = 79,245.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.