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Finding the Third Proportional to 3,012.94 and 4,633.97

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Solution

The third proportional to 3,012.94 and 4,633.97 is: 7,127.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.94 : 4,633.97 = 4,633.97 : x
  2. Step 2: Convert to fraction form
    3,012.94/4,633.97 = 4,633.97/x
  3. Step 3: Cross multiply
    3,012.94x = 4,633.97 × 4,633.97
  4. Step 4: Simplify right side
    3,012.94x = 21,473,666.38
  5. Step 5: Solve for x
    x = 21,473,666.38/3,012.94
  6. Step 6: Final answer
    x = 7,127.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.