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Finding the Third Proportional to 9,551 and 20,513

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Solution

The third proportional to 9,551 and 20,513 is: 44,056.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551 : 20,513 = 20,513 : x
  2. Step 2: Convert to fraction form
    9,551/20,513 = 20,513/x
  3. Step 3: Cross multiply
    9,551x = 20,513 × 20,513
  4. Step 4: Simplify right side
    9,551x = 420,783,169
  5. Step 5: Solve for x
    x = 420,783,169/9,551
  6. Step 6: Final answer
    x = 44,056.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.