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Finding the Third Proportional to 9,620 and 13,000

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Solution

The third proportional to 9,620 and 13,000 is: 17,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620 : 13,000 = 13,000 : x
  2. Step 2: Convert to fraction form
    9,620/13,000 = 13,000/x
  3. Step 3: Cross multiply
    9,620x = 13,000 × 13,000
  4. Step 4: Simplify right side
    9,620x = 169,000,000
  5. Step 5: Solve for x
    x = 169,000,000/9,620
  6. Step 6: Final answer
    x = 17,567.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.