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Finding the Third Proportional to 31,158 and 43,719.75

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Solution

The third proportional to 31,158 and 43,719.75 is: 61,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,158 : 43,719.75 = 43,719.75 : x
  2. Step 2: Convert to fraction form
    31,158/43,719.75 = 43,719.75/x
  3. Step 3: Cross multiply
    31,158x = 43,719.75 × 43,719.75
  4. Step 4: Simplify right side
    31,158x = 1,911,416,540.06
  5. Step 5: Solve for x
    x = 1,911,416,540.06/31,158
  6. Step 6: Final answer
    x = 61,345.93

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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.