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Finding the Third Proportional to 25,755 and 59,623

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Solution

The third proportional to 25,755 and 59,623 is: 138,027.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,755 : 59,623 = 59,623 : x
  2. Step 2: Convert to fraction form
    25,755/59,623 = 59,623/x
  3. Step 3: Cross multiply
    25,755x = 59,623 × 59,623
  4. Step 4: Simplify right side
    25,755x = 3,554,902,129
  5. Step 5: Solve for x
    x = 3,554,902,129/25,755
  6. Step 6: Final answer
    x = 138,027.65

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.