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Finding the Third Proportional to 7,097 and 16,576.50

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Solution

The third proportional to 7,097 and 16,576.50 is: 38,717.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097 : 16,576.50 = 16,576.50 : x
  2. Step 2: Convert to fraction form
    7,097/16,576.50 = 16,576.50/x
  3. Step 3: Cross multiply
    7,097x = 16,576.50 × 16,576.50
  4. Step 4: Simplify right side
    7,097x = 274,780,352.25
  5. Step 5: Solve for x
    x = 274,780,352.25/7,097
  6. Step 6: Final answer
    x = 38,717.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.