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Finding the Third Proportional to 9,319 and 14,069

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Solution

The third proportional to 9,319 and 14,069 is: 21,240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319 : 14,069 = 14,069 : x
  2. Step 2: Convert to fraction form
    9,319/14,069 = 14,069/x
  3. Step 3: Cross multiply
    9,319x = 14,069 × 14,069
  4. Step 4: Simplify right side
    9,319x = 197,936,761
  5. Step 5: Solve for x
    x = 197,936,761/9,319
  6. Step 6: Final answer
    x = 21,240.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.