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Finding the Third Proportional to 1,944.95 and 4,265.79

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Solution

The third proportional to 1,944.95 and 4,265.79 is: 9,356.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.95 : 4,265.79 = 4,265.79 : x
  2. Step 2: Convert to fraction form
    1,944.95/4,265.79 = 4,265.79/x
  3. Step 3: Cross multiply
    1,944.95x = 4,265.79 × 4,265.79
  4. Step 4: Simplify right side
    1,944.95x = 18,196,956.33
  5. Step 5: Solve for x
    x = 18,196,956.33/1,944.95
  6. Step 6: Final answer
    x = 9,356.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.