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Finding the Third Proportional to 27,412.25 and 59,054.25

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Solution

The third proportional to 27,412.25 and 59,054.25 is: 127,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412.25 : 59,054.25 = 59,054.25 : x
  2. Step 2: Convert to fraction form
    27,412.25/59,054.25 = 59,054.25/x
  3. Step 3: Cross multiply
    27,412.25x = 59,054.25 × 59,054.25
  4. Step 4: Simplify right side
    27,412.25x = 3,487,404,443.06
  5. Step 5: Solve for x
    x = 3,487,404,443.06/27,412.25
  6. Step 6: Final answer
    x = 127,220.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.