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Finding the Third Proportional to 9,817 and 21,019

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Solution

The third proportional to 9,817 and 21,019 is: 45,003.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817 : 21,019 = 21,019 : x
  2. Step 2: Convert to fraction form
    9,817/21,019 = 21,019/x
  3. Step 3: Cross multiply
    9,817x = 21,019 × 21,019
  4. Step 4: Simplify right side
    9,817x = 441,798,361
  5. Step 5: Solve for x
    x = 441,798,361/9,817
  6. Step 6: Final answer
    x = 45,003.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.