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Finding the Third Proportional to 23,018.63 and 34,613.44

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Solution

The third proportional to 23,018.63 and 34,613.44 is: 52,048.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,018.63 : 34,613.44 = 34,613.44 : x
  2. Step 2: Convert to fraction form
    23,018.63/34,613.44 = 34,613.44/x
  3. Step 3: Cross multiply
    23,018.63x = 34,613.44 × 34,613.44
  4. Step 4: Simplify right side
    23,018.63x = 1,198,090,055.57
  5. Step 5: Solve for x
    x = 1,198,090,055.57/23,018.63
  6. Step 6: Final answer
    x = 52,048.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.