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Finding the Third Proportional to 1,823.13 and 2,795.45

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Solution

The third proportional to 1,823.13 and 2,795.45 is: 4,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.13 : 2,795.45 = 2,795.45 : x
  2. Step 2: Convert to fraction form
    1,823.13/2,795.45 = 2,795.45/x
  3. Step 3: Cross multiply
    1,823.13x = 2,795.45 × 2,795.45
  4. Step 4: Simplify right side
    1,823.13x = 7,814,536.33
  5. Step 5: Solve for x
    x = 7,814,536.33/1,823.13
  6. Step 6: Final answer
    x = 4,286.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.