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Finding the Third Proportional to 31,176 and 47,018.25

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Solution

The third proportional to 31,176 and 47,018.25 is: 70,910.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,176 : 47,018.25 = 47,018.25 : x
  2. Step 2: Convert to fraction form
    31,176/47,018.25 = 47,018.25/x
  3. Step 3: Cross multiply
    31,176x = 47,018.25 × 47,018.25
  4. Step 4: Simplify right side
    31,176x = 2,210,715,833.06
  5. Step 5: Solve for x
    x = 2,210,715,833.06/31,176
  6. Step 6: Final answer
    x = 70,910.82

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