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Finding the Third Proportional to 23,054.63 and 31,291.31

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Solution

The third proportional to 23,054.63 and 31,291.31 is: 42,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,054.63 : 31,291.31 = 31,291.31 : x
  2. Step 2: Convert to fraction form
    23,054.63/31,291.31 = 31,291.31/x
  3. Step 3: Cross multiply
    23,054.63x = 31,291.31 × 31,291.31
  4. Step 4: Simplify right side
    23,054.63x = 979,146,237.97
  5. Step 5: Solve for x
    x = 979,146,237.97/23,054.63
  6. Step 6: Final answer
    x = 42,470.71

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.