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Finding the Third Proportional to 1,866.38 and 2,910.94

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Solution

The third proportional to 1,866.38 and 2,910.94 is: 4,540.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.38 : 2,910.94 = 2,910.94 : x
  2. Step 2: Convert to fraction form
    1,866.38/2,910.94 = 2,910.94/x
  3. Step 3: Cross multiply
    1,866.38x = 2,910.94 × 2,910.94
  4. Step 4: Simplify right side
    1,866.38x = 8,473,557.13
  5. Step 5: Solve for x
    x = 8,473,557.13/1,866.38
  6. Step 6: Final answer
    x = 4,540.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.