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Finding the Third Proportional to 14,432.77 and 31,014.56

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Solution

The third proportional to 14,432.77 and 31,014.56 is: 66,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.77 : 31,014.56 = 31,014.56 : x
  2. Step 2: Convert to fraction form
    14,432.77/31,014.56 = 31,014.56/x
  3. Step 3: Cross multiply
    14,432.77x = 31,014.56 × 31,014.56
  4. Step 4: Simplify right side
    14,432.77x = 961,903,087.07
  5. Step 5: Solve for x
    x = 961,903,087.07/14,432.77
  6. Step 6: Final answer
    x = 66,647.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.