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Finding the Third Proportional to 14,905.69 and 31,588.31

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Solution

The third proportional to 14,905.69 and 31,588.31 is: 66,942.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,905.69 : 31,588.31 = 31,588.31 : x
  2. Step 2: Convert to fraction form
    14,905.69/31,588.31 = 31,588.31/x
  3. Step 3: Cross multiply
    14,905.69x = 31,588.31 × 31,588.31
  4. Step 4: Simplify right side
    14,905.69x = 997,821,486.60
  5. Step 5: Solve for x
    x = 997,821,486.60/14,905.69
  6. Step 6: Final answer
    x = 66,942.33

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.