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Finding the Third Proportional to 4,482.56 and 9,849.94

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Solution

The third proportional to 4,482.56 and 9,849.94 is: 21,644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482.56 : 9,849.94 = 9,849.94 : x
  2. Step 2: Convert to fraction form
    4,482.56/9,849.94 = 9,849.94/x
  3. Step 3: Cross multiply
    4,482.56x = 9,849.94 × 9,849.94
  4. Step 4: Simplify right side
    4,482.56x = 97,021,268.75
  5. Step 5: Solve for x
    x = 97,021,268.75/4,482.56
  6. Step 6: Final answer
    x = 21,644.15

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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.