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Finding the Third Proportional to 1,967.02 and 3,045.84

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Solution

The third proportional to 1,967.02 and 3,045.84 is: 4,716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.02 : 3,045.84 = 3,045.84 : x
  2. Step 2: Convert to fraction form
    1,967.02/3,045.84 = 3,045.84/x
  3. Step 3: Cross multiply
    1,967.02x = 3,045.84 × 3,045.84
  4. Step 4: Simplify right side
    1,967.02x = 9,277,112.84
  5. Step 5: Solve for x
    x = 9,277,112.84/1,967.02
  6. Step 6: Final answer
    x = 4,716.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.