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Finding the Third Proportional to 14,801.48 and 31,972.22

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Solution

The third proportional to 14,801.48 and 31,972.22 is: 69,062.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,801.48 : 31,972.22 = 31,972.22 : x
  2. Step 2: Convert to fraction form
    14,801.48/31,972.22 = 31,972.22/x
  3. Step 3: Cross multiply
    14,801.48x = 31,972.22 × 31,972.22
  4. Step 4: Simplify right side
    14,801.48x = 1,022,222,771.80
  5. Step 5: Solve for x
    x = 1,022,222,771.80/14,801.48
  6. Step 6: Final answer
    x = 69,062.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.