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Finding the Third Proportional to 10,359 and 22,069

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Solution

The third proportional to 10,359 and 22,069 is: 47,016.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,359 : 22,069 = 22,069 : x
  2. Step 2: Convert to fraction form
    10,359/22,069 = 22,069/x
  3. Step 3: Cross multiply
    10,359x = 22,069 × 22,069
  4. Step 4: Simplify right side
    10,359x = 487,040,761
  5. Step 5: Solve for x
    x = 487,040,761/10,359
  6. Step 6: Final answer
    x = 47,016.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.