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Finding the Third Proportional to 11,554.73 and 16,511.77

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Solution

The third proportional to 11,554.73 and 16,511.77 is: 23,595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,554.73 : 16,511.77 = 16,511.77 : x
  2. Step 2: Convert to fraction form
    11,554.73/16,511.77 = 16,511.77/x
  3. Step 3: Cross multiply
    11,554.73x = 16,511.77 × 16,511.77
  4. Step 4: Simplify right side
    11,554.73x = 272,638,404.05
  5. Step 5: Solve for x
    x = 272,638,404.05/11,554.73
  6. Step 6: Final answer
    x = 23,595.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.