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Finding the Third Proportional to 31,896 and 48,132

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Solution

The third proportional to 31,896 and 48,132 is: 72,632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,896 : 48,132 = 48,132 : x
  2. Step 2: Convert to fraction form
    31,896/48,132 = 48,132/x
  3. Step 3: Cross multiply
    31,896x = 48,132 × 48,132
  4. Step 4: Simplify right side
    31,896x = 2,316,689,424
  5. Step 5: Solve for x
    x = 2,316,689,424/31,896
  6. Step 6: Final answer
    x = 72,632.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.