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Finding the Third Proportional to 12,256.31 and 28,374.05

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Solution

The third proportional to 12,256.31 and 28,374.05 is: 65,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256.31 : 28,374.05 = 28,374.05 : x
  2. Step 2: Convert to fraction form
    12,256.31/28,374.05 = 28,374.05/x
  3. Step 3: Cross multiply
    12,256.31x = 28,374.05 × 28,374.05
  4. Step 4: Simplify right side
    12,256.31x = 805,086,536.06
  5. Step 5: Solve for x
    x = 805,086,536.06/12,256.31
  6. Step 6: Final answer
    x = 65,687.50

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.