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Finding the Third Proportional to 31,159.50 and 43,722

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Solution

The third proportional to 31,159.50 and 43,722 is: 61,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,159.50 : 43,722 = 43,722 : x
  2. Step 2: Convert to fraction form
    31,159.50/43,722 = 43,722/x
  3. Step 3: Cross multiply
    31,159.50x = 43,722 × 43,722
  4. Step 4: Simplify right side
    31,159.50x = 1,911,613,284
  5. Step 5: Solve for x
    x = 1,911,613,284/31,159.50
  6. Step 6: Final answer
    x = 61,349.29

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.