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Finding the Third Proportional to 1,476.04 and 4,010.45

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Solution

The third proportional to 1,476.04 and 4,010.45 is: 10,896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.04 : 4,010.45 = 4,010.45 : x
  2. Step 2: Convert to fraction form
    1,476.04/4,010.45 = 4,010.45/x
  3. Step 3: Cross multiply
    1,476.04x = 4,010.45 × 4,010.45
  4. Step 4: Simplify right side
    1,476.04x = 16,083,702.94
  5. Step 5: Solve for x
    x = 16,083,702.94/1,476.04
  6. Step 6: Final answer
    x = 10,896.56

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.