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Finding the Third Proportional to 4,032.56 and 4,437.56

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Solution

The third proportional to 4,032.56 and 4,437.56 is: 4,883.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.56 : 4,437.56 = 4,437.56 : x
  2. Step 2: Convert to fraction form
    4,032.56/4,437.56 = 4,437.56/x
  3. Step 3: Cross multiply
    4,032.56x = 4,437.56 × 4,437.56
  4. Step 4: Simplify right side
    4,032.56x = 19,691,960.94
  5. Step 5: Solve for x
    x = 19,691,960.94/4,032.56
  6. Step 6: Final answer
    x = 4,883.24

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.