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Finding the Third Proportional to 2,866.01 and 6,045.26

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Solution

The third proportional to 2,866.01 and 6,045.26 is: 12,751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.01 : 6,045.26 = 6,045.26 : x
  2. Step 2: Convert to fraction form
    2,866.01/6,045.26 = 6,045.26/x
  3. Step 3: Cross multiply
    2,866.01x = 6,045.26 × 6,045.26
  4. Step 4: Simplify right side
    2,866.01x = 36,545,142.02
  5. Step 5: Solve for x
    x = 36,545,142.02/2,866.01
  6. Step 6: Final answer
    x = 12,751.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.