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Finding the Third Proportional to 14,675.50 and 31,970

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Solution

The third proportional to 14,675.50 and 31,970 is: 69,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,675.50 : 31,970 = 31,970 : x
  2. Step 2: Convert to fraction form
    14,675.50/31,970 = 31,970/x
  3. Step 3: Cross multiply
    14,675.50x = 31,970 × 31,970
  4. Step 4: Simplify right side
    14,675.50x = 1,022,080,900
  5. Step 5: Solve for x
    x = 1,022,080,900/14,675.50
  6. Step 6: Final answer
    x = 69,645.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.