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Finding the Third Proportional to 15,742.79 and 34,021.90

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Solution

The third proportional to 15,742.79 and 34,021.90 is: 73,525.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,742.79 : 34,021.90 = 34,021.90 : x
  2. Step 2: Convert to fraction form
    15,742.79/34,021.90 = 34,021.90/x
  3. Step 3: Cross multiply
    15,742.79x = 34,021.90 × 34,021.90
  4. Step 4: Simplify right side
    15,742.79x = 1,157,489,573.29
  5. Step 5: Solve for x
    x = 1,157,489,573.29/15,742.79
  6. Step 6: Final answer
    x = 73,525.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.