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Finding the Third Proportional to 15,769.50 and 18,649.50

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Solution

The third proportional to 15,769.50 and 18,649.50 is: 22,055.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769.50 : 18,649.50 = 18,649.50 : x
  2. Step 2: Convert to fraction form
    15,769.50/18,649.50 = 18,649.50/x
  3. Step 3: Cross multiply
    15,769.50x = 18,649.50 × 18,649.50
  4. Step 4: Simplify right side
    15,769.50x = 347,803,850.25
  5. Step 5: Solve for x
    x = 347,803,850.25/15,769.50
  6. Step 6: Final answer
    x = 22,055.48

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.