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Finding the Third Proportional to 14,458.50 and 22,912.88

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Solution

The third proportional to 14,458.50 and 22,912.88 is: 36,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458.50 : 22,912.88 = 22,912.88 : x
  2. Step 2: Convert to fraction form
    14,458.50/22,912.88 = 22,912.88/x
  3. Step 3: Cross multiply
    14,458.50x = 22,912.88 × 22,912.88
  4. Step 4: Simplify right side
    14,458.50x = 524,999,840.77
  5. Step 5: Solve for x
    x = 524,999,840.77/14,458.50
  6. Step 6: Final answer
    x = 36,310.81

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.