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Finding the Third Proportional to 1,844.16 and 2,924.61

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Solution

The third proportional to 1,844.16 and 2,924.61 is: 4,638.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.16 : 2,924.61 = 2,924.61 : x
  2. Step 2: Convert to fraction form
    1,844.16/2,924.61 = 2,924.61/x
  3. Step 3: Cross multiply
    1,844.16x = 2,924.61 × 2,924.61
  4. Step 4: Simplify right side
    1,844.16x = 8,553,362.84
  5. Step 5: Solve for x
    x = 8,553,362.84/1,844.16
  6. Step 6: Final answer
    x = 4,638.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.