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Finding the Third Proportional to 1,799 and 4,016.25

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Solution

The third proportional to 1,799 and 4,016.25 is: 8,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799 : 4,016.25 = 4,016.25 : x
  2. Step 2: Convert to fraction form
    1,799/4,016.25 = 4,016.25/x
  3. Step 3: Cross multiply
    1,799x = 4,016.25 × 4,016.25
  4. Step 4: Simplify right side
    1,799x = 16,130,264.06
  5. Step 5: Solve for x
    x = 16,130,264.06/1,799
  6. Step 6: Final answer
    x = 8,966.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.