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Finding the Third Proportional to 5,693.20 and 12,507.33

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Solution

The third proportional to 5,693.20 and 12,507.33 is: 27,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.20 : 12,507.33 = 12,507.33 : x
  2. Step 2: Convert to fraction form
    5,693.20/12,507.33 = 12,507.33/x
  3. Step 3: Cross multiply
    5,693.20x = 12,507.33 × 12,507.33
  4. Step 4: Simplify right side
    5,693.20x = 156,433,256.83
  5. Step 5: Solve for x
    x = 156,433,256.83/5,693.20
  6. Step 6: Final answer
    x = 27,477.20

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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.