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Finding the Third Proportional to 14,245.88 and 34,546.50

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Solution

The third proportional to 14,245.88 and 34,546.50 is: 83,775.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,245.88 : 34,546.50 = 34,546.50 : x
  2. Step 2: Convert to fraction form
    14,245.88/34,546.50 = 34,546.50/x
  3. Step 3: Cross multiply
    14,245.88x = 34,546.50 × 34,546.50
  4. Step 4: Simplify right side
    14,245.88x = 1,193,460,662.25
  5. Step 5: Solve for x
    x = 1,193,460,662.25/14,245.88
  6. Step 6: Final answer
    x = 83,775.88

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These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.