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Finding the Third Proportional to 37,945.50 and 60,968.25

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Solution

The third proportional to 37,945.50 and 60,968.25 is: 97,959.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,945.50 : 60,968.25 = 60,968.25 : x
  2. Step 2: Convert to fraction form
    37,945.50/60,968.25 = 60,968.25/x
  3. Step 3: Cross multiply
    37,945.50x = 60,968.25 × 60,968.25
  4. Step 4: Simplify right side
    37,945.50x = 3,717,127,508.06
  5. Step 5: Solve for x
    x = 3,717,127,508.06/37,945.50
  6. Step 6: Final answer
    x = 97,959.64

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.