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Finding the Third Proportional to 10,692 and 16,455.66

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Solution

The third proportional to 10,692 and 16,455.66 is: 25,326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692 : 16,455.66 = 16,455.66 : x
  2. Step 2: Convert to fraction form
    10,692/16,455.66 = 16,455.66/x
  3. Step 3: Cross multiply
    10,692x = 16,455.66 × 16,455.66
  4. Step 4: Simplify right side
    10,692x = 270,788,622.62
  5. Step 5: Solve for x
    x = 270,788,622.62/10,692
  6. Step 6: Final answer
    x = 25,326.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.