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Finding the Third Proportional to 7,289.50 and 16,054

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Solution

The third proportional to 7,289.50 and 16,054 is: 35,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.50 : 16,054 = 16,054 : x
  2. Step 2: Convert to fraction form
    7,289.50/16,054 = 16,054/x
  3. Step 3: Cross multiply
    7,289.50x = 16,054 × 16,054
  4. Step 4: Simplify right side
    7,289.50x = 257,730,916
  5. Step 5: Solve for x
    x = 257,730,916/7,289.50
  6. Step 6: Final answer
    x = 35,356.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.