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Finding the Third Proportional to 23,496.33 and 36,422.16

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Solution

The third proportional to 23,496.33 and 36,422.16 is: 56,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,496.33 : 36,422.16 = 36,422.16 : x
  2. Step 2: Convert to fraction form
    23,496.33/36,422.16 = 36,422.16/x
  3. Step 3: Cross multiply
    23,496.33x = 36,422.16 × 36,422.16
  4. Step 4: Simplify right side
    23,496.33x = 1,326,573,465.90
  5. Step 5: Solve for x
    x = 1,326,573,465.90/23,496.33
  6. Step 6: Final answer
    x = 56,458.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.