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Finding the Third Proportional to 23,613.75 and 33,017.63

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Solution

The third proportional to 23,613.75 and 33,017.63 is: 46,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,613.75 : 33,017.63 = 33,017.63 : x
  2. Step 2: Convert to fraction form
    23,613.75/33,017.63 = 33,017.63/x
  3. Step 3: Cross multiply
    23,613.75x = 33,017.63 × 33,017.63
  4. Step 4: Simplify right side
    23,613.75x = 1,090,163,560.64
  5. Step 5: Solve for x
    x = 1,090,163,560.64/23,613.75
  6. Step 6: Final answer
    x = 46,166.47

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.