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Finding the Third Proportional to 815.06 and 1,922.48

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Solution

The third proportional to 815.06 and 1,922.48 is: 4,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.06 : 1,922.48 = 1,922.48 : x
  2. Step 2: Convert to fraction form
    815.06/1,922.48 = 1,922.48/x
  3. Step 3: Cross multiply
    815.06x = 1,922.48 × 1,922.48
  4. Step 4: Simplify right side
    815.06x = 3,695,946.17
  5. Step 5: Solve for x
    x = 3,695,946.17/815.06
  6. Step 6: Final answer
    x = 4,534.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.