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Finding the Third Proportional to 14,293.50 and 31,495.50

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Solution

The third proportional to 14,293.50 and 31,495.50 is: 69,399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,293.50 : 31,495.50 = 31,495.50 : x
  2. Step 2: Convert to fraction form
    14,293.50/31,495.50 = 31,495.50/x
  3. Step 3: Cross multiply
    14,293.50x = 31,495.50 × 31,495.50
  4. Step 4: Simplify right side
    14,293.50x = 991,966,520.25
  5. Step 5: Solve for x
    x = 991,966,520.25/14,293.50
  6. Step 6: Final answer
    x = 69,399.83

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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.