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Finding the Third Proportional to 47,971.50 and 76,637.25

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Solution

The third proportional to 47,971.50 and 76,637.25 is: 122,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,971.50 : 76,637.25 = 76,637.25 : x
  2. Step 2: Convert to fraction form
    47,971.50/76,637.25 = 76,637.25/x
  3. Step 3: Cross multiply
    47,971.50x = 76,637.25 × 76,637.25
  4. Step 4: Simplify right side
    47,971.50x = 5,873,268,087.56
  5. Step 5: Solve for x
    x = 5,873,268,087.56/47,971.50
  6. Step 6: Final answer
    x = 122,432.45

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.