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Finding the Third Proportional to 11,567.18 and 15,958.27

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Solution

The third proportional to 11,567.18 and 15,958.27 is: 22,016.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.18 : 15,958.27 = 15,958.27 : x
  2. Step 2: Convert to fraction form
    11,567.18/15,958.27 = 15,958.27/x
  3. Step 3: Cross multiply
    11,567.18x = 15,958.27 × 15,958.27
  4. Step 4: Simplify right side
    11,567.18x = 254,666,241.76
  5. Step 5: Solve for x
    x = 254,666,241.76/11,567.18
  6. Step 6: Final answer
    x = 22,016.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.