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Finding the Third Proportional to 10,365 and 22,085

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Solution

The third proportional to 10,365 and 22,085 is: 47,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365 : 22,085 = 22,085 : x
  2. Step 2: Convert to fraction form
    10,365/22,085 = 22,085/x
  3. Step 3: Cross multiply
    10,365x = 22,085 × 22,085
  4. Step 4: Simplify right side
    10,365x = 487,747,225
  5. Step 5: Solve for x
    x = 487,747,225/10,365
  6. Step 6: Final answer
    x = 47,057.14

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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.