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Finding the Third Proportional to 9,525.09 and 20,639.81

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Solution

The third proportional to 9,525.09 and 20,639.81 is: 44,724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.09 : 20,639.81 = 20,639.81 : x
  2. Step 2: Convert to fraction form
    9,525.09/20,639.81 = 20,639.81/x
  3. Step 3: Cross multiply
    9,525.09x = 20,639.81 × 20,639.81
  4. Step 4: Simplify right side
    9,525.09x = 426,001,860.04
  5. Step 5: Solve for x
    x = 426,001,860.04/9,525.09
  6. Step 6: Final answer
    x = 44,724.16

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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.