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Finding the Third Proportional to 11,390.11 and 16,032.66

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Solution

The third proportional to 11,390.11 and 16,032.66 is: 22,567.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,390.11 : 16,032.66 = 16,032.66 : x
  2. Step 2: Convert to fraction form
    11,390.11/16,032.66 = 16,032.66/x
  3. Step 3: Cross multiply
    11,390.11x = 16,032.66 × 16,032.66
  4. Step 4: Simplify right side
    11,390.11x = 257,046,066.43
  5. Step 5: Solve for x
    x = 257,046,066.43/11,390.11
  6. Step 6: Final answer
    x = 22,567.48

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Why These Related Problems?

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