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Finding the Third Proportional to 31,194 and 46,748

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Solution

The third proportional to 31,194 and 46,748 is: 70,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194 : 46,748 = 46,748 : x
  2. Step 2: Convert to fraction form
    31,194/46,748 = 46,748/x
  3. Step 3: Cross multiply
    31,194x = 46,748 × 46,748
  4. Step 4: Simplify right side
    31,194x = 2,185,375,504
  5. Step 5: Solve for x
    x = 2,185,375,504/31,194
  6. Step 6: Final answer
    x = 70,057.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.