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Finding the Third Proportional to 4,393.13 and 7,026.38

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Solution

The third proportional to 4,393.13 and 7,026.38 is: 11,238.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,393.13 : 7,026.38 = 7,026.38 : x
  2. Step 2: Convert to fraction form
    4,393.13/7,026.38 = 7,026.38/x
  3. Step 3: Cross multiply
    4,393.13x = 7,026.38 × 7,026.38
  4. Step 4: Simplify right side
    4,393.13x = 49,369,945.64
  5. Step 5: Solve for x
    x = 49,369,945.64/4,393.13
  6. Step 6: Final answer
    x = 11,238.00

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.