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Finding the Third Proportional to 9,675 and 13,000.50

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Solution

The third proportional to 9,675 and 13,000.50 is: 17,469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675 : 13,000.50 = 13,000.50 : x
  2. Step 2: Convert to fraction form
    9,675/13,000.50 = 13,000.50/x
  3. Step 3: Cross multiply
    9,675x = 13,000.50 × 13,000.50
  4. Step 4: Simplify right side
    9,675x = 169,013,000.25
  5. Step 5: Solve for x
    x = 169,013,000.25/9,675
  6. Step 6: Final answer
    x = 17,469.04

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.