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Finding the Third Proportional to 9,674.96 and 19,759.99

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Solution

The third proportional to 9,674.96 and 19,759.99 is: 40,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.96 : 19,759.99 = 19,759.99 : x
  2. Step 2: Convert to fraction form
    9,674.96/19,759.99 = 19,759.99/x
  3. Step 3: Cross multiply
    9,674.96x = 19,759.99 × 19,759.99
  4. Step 4: Simplify right side
    9,674.96x = 390,457,291.25
  5. Step 5: Solve for x
    x = 390,457,291.25/9,674.96
  6. Step 6: Final answer
    x = 40,357.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.