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Finding the Third Proportional to 14,353.50 and 31,447.50

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Solution

The third proportional to 14,353.50 and 31,447.50 is: 68,899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,353.50 : 31,447.50 = 31,447.50 : x
  2. Step 2: Convert to fraction form
    14,353.50/31,447.50 = 31,447.50/x
  3. Step 3: Cross multiply
    14,353.50x = 31,447.50 × 31,447.50
  4. Step 4: Simplify right side
    14,353.50x = 988,945,256.25
  5. Step 5: Solve for x
    x = 988,945,256.25/14,353.50
  6. Step 6: Final answer
    x = 68,899.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.