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Finding the Third Proportional to 2,664.47 and 5,605.13

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Solution

The third proportional to 2,664.47 and 5,605.13 is: 11,791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.47 : 5,605.13 = 5,605.13 : x
  2. Step 2: Convert to fraction form
    2,664.47/5,605.13 = 5,605.13/x
  3. Step 3: Cross multiply
    2,664.47x = 5,605.13 × 5,605.13
  4. Step 4: Simplify right side
    2,664.47x = 31,417,426.27
  5. Step 5: Solve for x
    x = 31,417,426.27/2,664.47
  6. Step 6: Final answer
    x = 11,791.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.