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Finding the Third Proportional to 39,742.96 and 53,968.07

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Solution

The third proportional to 39,742.96 and 53,968.07 is: 73,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,742.96 : 53,968.07 = 53,968.07 : x
  2. Step 2: Convert to fraction form
    39,742.96/53,968.07 = 53,968.07/x
  3. Step 3: Cross multiply
    39,742.96x = 53,968.07 × 53,968.07
  4. Step 4: Simplify right side
    39,742.96x = 2,912,552,507.85
  5. Step 5: Solve for x
    x = 2,912,552,507.85/39,742.96
  6. Step 6: Final answer
    x = 73,284.74

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.