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Finding the Third Proportional to 11,402.02 and 17,057.46

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Solution

The third proportional to 11,402.02 and 17,057.46 is: 25,518.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.02 : 17,057.46 = 17,057.46 : x
  2. Step 2: Convert to fraction form
    11,402.02/17,057.46 = 17,057.46/x
  3. Step 3: Cross multiply
    11,402.02x = 17,057.46 × 17,057.46
  4. Step 4: Simplify right side
    11,402.02x = 290,956,973.63
  5. Step 5: Solve for x
    x = 290,956,973.63/11,402.02
  6. Step 6: Final answer
    x = 25,518.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.