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Finding the Third Proportional to 23,416.59 and 35,708.34

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Solution

The third proportional to 23,416.59 and 35,708.34 is: 54,452.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,416.59 : 35,708.34 = 35,708.34 : x
  2. Step 2: Convert to fraction form
    23,416.59/35,708.34 = 35,708.34/x
  3. Step 3: Cross multiply
    23,416.59x = 35,708.34 × 35,708.34
  4. Step 4: Simplify right side
    23,416.59x = 1,275,085,813.37
  5. Step 5: Solve for x
    x = 1,275,085,813.37/23,416.59
  6. Step 6: Final answer
    x = 54,452.23

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.