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Finding the Third Proportional to 23,801.50 and 36,613.50

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Solution

The third proportional to 23,801.50 and 36,613.50 is: 56,322.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,801.50 : 36,613.50 = 36,613.50 : x
  2. Step 2: Convert to fraction form
    23,801.50/36,613.50 = 36,613.50/x
  3. Step 3: Cross multiply
    23,801.50x = 36,613.50 × 36,613.50
  4. Step 4: Simplify right side
    23,801.50x = 1,340,548,382.25
  5. Step 5: Solve for x
    x = 1,340,548,382.25/23,801.50
  6. Step 6: Final answer
    x = 56,322.01

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.