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Finding the Third Proportional to 11,545.88 and 18,354.94

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Solution

The third proportional to 11,545.88 and 18,354.94 is: 29,179.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545.88 : 18,354.94 = 18,354.94 : x
  2. Step 2: Convert to fraction form
    11,545.88/18,354.94 = 18,354.94/x
  3. Step 3: Cross multiply
    11,545.88x = 18,354.94 × 18,354.94
  4. Step 4: Simplify right side
    11,545.88x = 336,903,730.63
  5. Step 5: Solve for x
    x = 336,903,730.63/11,545.88
  6. Step 6: Final answer
    x = 29,179.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.