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Finding the Third Proportional to 1,805.88 and 2,448.88

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Solution

The third proportional to 1,805.88 and 2,448.88 is: 3,320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.88 : 2,448.88 = 2,448.88 : x
  2. Step 2: Convert to fraction form
    1,805.88/2,448.88 = 2,448.88/x
  3. Step 3: Cross multiply
    1,805.88x = 2,448.88 × 2,448.88
  4. Step 4: Simplify right side
    1,805.88x = 5,996,988.77
  5. Step 5: Solve for x
    x = 5,996,988.77/1,805.88
  6. Step 6: Final answer
    x = 3,320.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.