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Finding the Third Proportional to 23,716.13 and 52,683.75

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Solution

The third proportional to 23,716.13 and 52,683.75 is: 117,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,716.13 : 52,683.75 = 52,683.75 : x
  2. Step 2: Convert to fraction form
    23,716.13/52,683.75 = 52,683.75/x
  3. Step 3: Cross multiply
    23,716.13x = 52,683.75 × 52,683.75
  4. Step 4: Simplify right side
    23,716.13x = 2,775,577,514.06
  5. Step 5: Solve for x
    x = 2,775,577,514.06/23,716.13
  6. Step 6: Final answer
    x = 117,033.35

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.