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Finding the Third Proportional to 2,652.09 and 5,833.64

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Solution

The third proportional to 2,652.09 and 5,833.64 is: 12,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.09 : 5,833.64 = 5,833.64 : x
  2. Step 2: Convert to fraction form
    2,652.09/5,833.64 = 5,833.64/x
  3. Step 3: Cross multiply
    2,652.09x = 5,833.64 × 5,833.64
  4. Step 4: Simplify right side
    2,652.09x = 34,031,362.94
  5. Step 5: Solve for x
    x = 34,031,362.94/2,652.09
  6. Step 6: Final answer
    x = 12,831.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.