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Finding the Third Proportional to 23,418 and 51,608.25

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Solution

The third proportional to 23,418 and 51,608.25 is: 113,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,418 : 51,608.25 = 51,608.25 : x
  2. Step 2: Convert to fraction form
    23,418/51,608.25 = 51,608.25/x
  3. Step 3: Cross multiply
    23,418x = 51,608.25 × 51,608.25
  4. Step 4: Simplify right side
    23,418x = 2,663,411,468.06
  5. Step 5: Solve for x
    x = 2,663,411,468.06/23,418
  6. Step 6: Final answer
    x = 113,733.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.