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Finding the Third Proportional to 14,254.31 and 31,017.94

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Solution

The third proportional to 14,254.31 and 31,017.94 is: 67,496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254.31 : 31,017.94 = 31,017.94 : x
  2. Step 2: Convert to fraction form
    14,254.31/31,017.94 = 31,017.94/x
  3. Step 3: Cross multiply
    14,254.31x = 31,017.94 × 31,017.94
  4. Step 4: Simplify right side
    14,254.31x = 962,112,446.75
  5. Step 5: Solve for x
    x = 962,112,446.75/14,254.31
  6. Step 6: Final answer
    x = 67,496.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.