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Finding the Third Proportional to 46,770 and 71,322.38

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Solution

The third proportional to 46,770 and 71,322.38 is: 108,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,770 : 71,322.38 = 71,322.38 : x
  2. Step 2: Convert to fraction form
    46,770/71,322.38 = 71,322.38/x
  3. Step 3: Cross multiply
    46,770x = 71,322.38 × 71,322.38
  4. Step 4: Simplify right side
    46,770x = 5,086,881,175.64
  5. Step 5: Solve for x
    x = 5,086,881,175.64/46,770
  6. Step 6: Final answer
    x = 108,763.76

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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.