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Finding the Third Proportional to 9,459 and 20,558.25

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Solution

The third proportional to 9,459 and 20,558.25 is: 44,681.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459 : 20,558.25 = 20,558.25 : x
  2. Step 2: Convert to fraction form
    9,459/20,558.25 = 20,558.25/x
  3. Step 3: Cross multiply
    9,459x = 20,558.25 × 20,558.25
  4. Step 4: Simplify right side
    9,459x = 422,641,643.06
  5. Step 5: Solve for x
    x = 422,641,643.06/9,459
  6. Step 6: Final answer
    x = 44,681.43

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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.