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Finding the Third Proportional to 31,054.75 and 43,900

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Solution

The third proportional to 31,054.75 and 43,900 is: 62,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,054.75 : 43,900 = 43,900 : x
  2. Step 2: Convert to fraction form
    31,054.75/43,900 = 43,900/x
  3. Step 3: Cross multiply
    31,054.75x = 43,900 × 43,900
  4. Step 4: Simplify right side
    31,054.75x = 1,927,210,000
  5. Step 5: Solve for x
    x = 1,927,210,000/31,054.75
  6. Step 6: Final answer
    x = 62,058.46

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.