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Finding the Third Proportional to 14,539.50 and 31,407.75

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Solution

The third proportional to 14,539.50 and 31,407.75 is: 67,845.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,539.50 : 31,407.75 = 31,407.75 : x
  2. Step 2: Convert to fraction form
    14,539.50/31,407.75 = 31,407.75/x
  3. Step 3: Cross multiply
    14,539.50x = 31,407.75 × 31,407.75
  4. Step 4: Simplify right side
    14,539.50x = 986,446,760.06
  5. Step 5: Solve for x
    x = 986,446,760.06/14,539.50
  6. Step 6: Final answer
    x = 67,845.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.