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Finding the Third Proportional to 7,352.50 and 16,001

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Solution

The third proportional to 7,352.50 and 16,001 is: 34,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.50 : 16,001 = 16,001 : x
  2. Step 2: Convert to fraction form
    7,352.50/16,001 = 16,001/x
  3. Step 3: Cross multiply
    7,352.50x = 16,001 × 16,001
  4. Step 4: Simplify right side
    7,352.50x = 256,032,001
  5. Step 5: Solve for x
    x = 256,032,001/7,352.50
  6. Step 6: Final answer
    x = 34,822.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.