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Finding the Third Proportional to 820.13 and 1,812.38

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Solution

The third proportional to 820.13 and 1,812.38 is: 4,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.13 : 1,812.38 = 1,812.38 : x
  2. Step 2: Convert to fraction form
    820.13/1,812.38 = 1,812.38/x
  3. Step 3: Cross multiply
    820.13x = 1,812.38 × 1,812.38
  4. Step 4: Simplify right side
    820.13x = 3,284,703.14
  5. Step 5: Solve for x
    x = 3,284,703.14/820.13
  6. Step 6: Final answer
    x = 4,005.13

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.