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Finding the Third Proportional to 46,676 and 70,987

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Solution

The third proportional to 46,676 and 70,987 is: 107,960.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,676 : 70,987 = 70,987 : x
  2. Step 2: Convert to fraction form
    46,676/70,987 = 70,987/x
  3. Step 3: Cross multiply
    46,676x = 70,987 × 70,987
  4. Step 4: Simplify right side
    46,676x = 5,039,154,169
  5. Step 5: Solve for x
    x = 5,039,154,169/46,676
  6. Step 6: Final answer
    x = 107,960.28

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.