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Finding the Third Proportional to 4,590.42 and 9,944.02

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Solution

The third proportional to 4,590.42 and 9,944.02 is: 21,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.42 : 9,944.02 = 9,944.02 : x
  2. Step 2: Convert to fraction form
    4,590.42/9,944.02 = 9,944.02/x
  3. Step 3: Cross multiply
    4,590.42x = 9,944.02 × 9,944.02
  4. Step 4: Simplify right side
    4,590.42x = 98,883,446.75
  5. Step 5: Solve for x
    x = 98,883,446.75/4,590.42
  6. Step 6: Final answer
    x = 21,541.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.