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Finding the Third Proportional to 39,647.25 and 54,365.63

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Solution

The third proportional to 39,647.25 and 54,365.63 is: 74,547.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,647.25 : 54,365.63 = 54,365.63 : x
  2. Step 2: Convert to fraction form
    39,647.25/54,365.63 = 54,365.63/x
  3. Step 3: Cross multiply
    39,647.25x = 54,365.63 × 54,365.63
  4. Step 4: Simplify right side
    39,647.25x = 2,955,621,181.64
  5. Step 5: Solve for x
    x = 2,955,621,181.64/39,647.25
  6. Step 6: Final answer
    x = 74,547.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.