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Finding the Third Proportional to 46,474 and 71,810

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Solution

The third proportional to 46,474 and 71,810 is: 110,958.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,474 : 71,810 = 71,810 : x
  2. Step 2: Convert to fraction form
    46,474/71,810 = 71,810/x
  3. Step 3: Cross multiply
    46,474x = 71,810 × 71,810
  4. Step 4: Simplify right side
    46,474x = 5,156,676,100
  5. Step 5: Solve for x
    x = 5,156,676,100/46,474
  6. Step 6: Final answer
    x = 110,958.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.