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Finding the Third Proportional to 1,985.77 and 3,046.99

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Solution

The third proportional to 1,985.77 and 3,046.99 is: 4,675.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.77 : 3,046.99 = 3,046.99 : x
  2. Step 2: Convert to fraction form
    1,985.77/3,046.99 = 3,046.99/x
  3. Step 3: Cross multiply
    1,985.77x = 3,046.99 × 3,046.99
  4. Step 4: Simplify right side
    1,985.77x = 9,284,161.39
  5. Step 5: Solve for x
    x = 9,284,161.39/1,985.77
  6. Step 6: Final answer
    x = 4,675.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.