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Finding the Third Proportional to 18,696 and 27,775.50

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Solution

The third proportional to 18,696 and 27,775.50 is: 41,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,696 : 27,775.50 = 27,775.50 : x
  2. Step 2: Convert to fraction form
    18,696/27,775.50 = 27,775.50/x
  3. Step 3: Cross multiply
    18,696x = 27,775.50 × 27,775.50
  4. Step 4: Simplify right side
    18,696x = 771,478,400.25
  5. Step 5: Solve for x
    x = 771,478,400.25/18,696
  6. Step 6: Final answer
    x = 41,264.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.