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Finding the Third Proportional to 1,985.77 and 2,993.84

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Solution

The third proportional to 1,985.77 and 2,993.84 is: 4,513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.77 : 2,993.84 = 2,993.84 : x
  2. Step 2: Convert to fraction form
    1,985.77/2,993.84 = 2,993.84/x
  3. Step 3: Cross multiply
    1,985.77x = 2,993.84 × 2,993.84
  4. Step 4: Simplify right side
    1,985.77x = 8,963,053.62
  5. Step 5: Solve for x
    x = 8,963,053.62/1,985.77
  6. Step 6: Final answer
    x = 4,513.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.