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Finding the Third Proportional to 14,890.50 and 31,341.94

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Solution

The third proportional to 14,890.50 and 31,341.94 is: 65,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,890.50 : 31,341.94 = 31,341.94 : x
  2. Step 2: Convert to fraction form
    14,890.50/31,341.94 = 31,341.94/x
  3. Step 3: Cross multiply
    14,890.50x = 31,341.94 × 31,341.94
  4. Step 4: Simplify right side
    14,890.50x = 982,317,046.25
  5. Step 5: Solve for x
    x = 982,317,046.25/14,890.50
  6. Step 6: Final answer
    x = 65,969.38

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.