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Finding the Third Proportional to 23,646.94 and 51,733.69

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Solution

The third proportional to 23,646.94 and 51,733.69 is: 113,180.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,646.94 : 51,733.69 = 51,733.69 : x
  2. Step 2: Convert to fraction form
    23,646.94/51,733.69 = 51,733.69/x
  3. Step 3: Cross multiply
    23,646.94x = 51,733.69 × 51,733.69
  4. Step 4: Simplify right side
    23,646.94x = 2,676,374,422.35
  5. Step 5: Solve for x
    x = 2,676,374,422.35/23,646.94
  6. Step 6: Final answer
    x = 113,180.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.