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Finding the Third Proportional to 31,332 and 47,991

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Solution

The third proportional to 31,332 and 47,991 is: 73,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,332 : 47,991 = 47,991 : x
  2. Step 2: Convert to fraction form
    31,332/47,991 = 47,991/x
  3. Step 3: Cross multiply
    31,332x = 47,991 × 47,991
  4. Step 4: Simplify right side
    31,332x = 2,303,136,081
  5. Step 5: Solve for x
    x = 2,303,136,081/31,332
  6. Step 6: Final answer
    x = 73,507.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.