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Finding the Third Proportional to 11,645.34 and 16,462.22

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Solution

The third proportional to 11,645.34 and 16,462.22 is: 23,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.34 : 16,462.22 = 16,462.22 : x
  2. Step 2: Convert to fraction form
    11,645.34/16,462.22 = 16,462.22/x
  3. Step 3: Cross multiply
    11,645.34x = 16,462.22 × 16,462.22
  4. Step 4: Simplify right side
    11,645.34x = 271,004,646.17
  5. Step 5: Solve for x
    x = 271,004,646.17/11,645.34
  6. Step 6: Final answer
    x = 23,271.50

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.