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Finding the Third Proportional to 14,349.25 and 31,538.50

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Solution

The third proportional to 14,349.25 and 31,538.50 is: 69,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,349.25 : 31,538.50 = 31,538.50 : x
  2. Step 2: Convert to fraction form
    14,349.25/31,538.50 = 31,538.50/x
  3. Step 3: Cross multiply
    14,349.25x = 31,538.50 × 31,538.50
  4. Step 4: Simplify right side
    14,349.25x = 994,676,982.25
  5. Step 5: Solve for x
    x = 994,676,982.25/14,349.25
  6. Step 6: Final answer
    x = 69,319.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.